Quiz 1: Functions and Graphs
Mathematics
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Q 36Q 36
Solve the equation graphically by converting it to an equivalent equation with 0 on the righthand side and then finding
the xintercepts.

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Q 37Q 37
Solve the equation graphically by converting it to an equivalent equation with 0 on the righthand side and then finding
the xintercepts.

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Q 38Q 38
Solve the equation graphically by converting it to an equivalent equation with 0 on the righthand side and then finding
the xintercepts.

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Q 39Q 39
Solve the equation graphically by converting it to an equivalent equation with 0 on the righthand side and then finding
the xintercepts.

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Q 75Q 75
Graph the function and determine if it has a point of discontinuity at x = 0. If there is a discontinuity, tell whether it is
removable or nonremovable.

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Q 76Q 76
Graph the function and determine if it has a point of discontinuity at x = 0. If there is a discontinuity, tell whether it is
removable or nonremovable.

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Q 77Q 77
Graph the function and determine if it has a point of discontinuity at x = 0. If there is a discontinuity, tell whether it is
removable or nonremovable.

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Q 78Q 78
Graph the function and determine if it has a point of discontinuity at x = 0. If there is a discontinuity, tell whether it is
removable or nonremovable.

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Q 79Q 79
Graph the function and determine if it has a point of discontinuity at x = 0. If there is a discontinuity, tell whether it is
removable or nonremovable.

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Q 101Q 101
Determine if the function is bounded above, bounded below, bounded on its domain, or unbounded on its domain.

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Q 102Q 102
Determine if the function is bounded above, bounded below, bounded on its domain, or unbounded on its domain.

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Q 103Q 103
Determine if the function is bounded above, bounded below, bounded on its domain, or unbounded on its domain.

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Q 104Q 104
Determine if the function is bounded above, bounded below, bounded on its domain, or unbounded on its domain.

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Q 105Q 105
Determine if the function is bounded above, bounded below, bounded on its domain, or unbounded on its domain.

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Q 106Q 106
Determine if the function is bounded above, bounded below, bounded on its domain, or unbounded on its domain.

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Q 169Q 169
Write the word or phrase that best completes each statement or answers the question.
Graph the function on your calculator in order to answer the following questions:
On what intervals is the function increasing? decreasing?
Is the function odd, even, or neither?
Give the function's extrema, if any.
Find the horizontal asymptotes, if any.
How does the graph relate to a graph of one of the twelve basic functions?
f(x) = ln(x + 3)
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Q 170Q 170
Write the word or phrase that best completes each statement or answers the question.
Graph the function on your calculator in order to answer the following questions:
On what intervals is the function increasing? decreasing?
Is the function odd, even, or neither?
Give the function's extrema, if any.
Find the horizontal asymptotes, if any.
How does the graph relate to a graph of one of the twelve basic functions?

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Q 171Q 171
Write the word or phrase that best completes each statement or answers the question.
Graph the function on your calculator in order to answer the following questions:
On what intervals is the function increasing? decreasing?
Is the function odd, even, or neither?
Give the function's extrema, if any.
Find the horizontal asymptotes, if any.
How does the graph relate to a graph of one of the twelve basic functions?

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Q 172Q 172
Write the word or phrase that best completes each statement or answers the question.
Graph the function on your calculator in order to answer the following questions:
On what intervals is the function increasing? decreasing?
Is the function odd, even, or neither?
Give the function's extrema, if any.
Find the horizontal asymptotes, if any.
How does the graph relate to a graph of one of the twelve basic functions?

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Q 173Q 173
Choose the one alternative that best completes the statement or answers the question.
Graph the piecewisedefined function.

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Q 174Q 174
Choose the one alternative that best completes the statement or answers the question.
Graph the piecewisedefined function.

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Q 175Q 175
Choose the one alternative that best completes the statement or answers the question.
Graph the piecewisedefined function.

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Q 176Q 176
Choose the one alternative that best completes the statement or answers the question.
Graph the piecewisedefined function.

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Q 177Q 177
Choose the one alternative that best completes the statement or answers the question.
Graph the piecewisedefined function.

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Q 178Q 178
Choose the one alternative that best completes the statement or answers the question.
Graph the piecewisedefined function.

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Q 179Q 179
Choose the one alternative that best completes the statement or answers the question.
Graph the piecewisedefined function.

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Q 180Q 180
Choose the one alternative that best completes the statement or answers the question.
Graph the piecewisedefined function.

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Q 181Q 181
Choose the one alternative that best completes the statement or answers the question.
Graph the piecewisedefined function.

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Q 190Q 190
Consider the functions f and g as shown in the graph. Sketch the graph of the indicated sum or difference of functions.

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Q 191Q 191
Consider the functions f and g as shown in the graph. Sketch the graph of the indicated sum or difference of functions.

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Q 192Q 192
Consider the functions f and g as shown in the graph. Sketch the graph of the indicated sum or difference of functions.

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Q 239Q 239
Graph the inverse of the function plotted, on the same set of axes. Use a dashed curve for the inverse.

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Q 240Q 240
Graph the inverse of the function plotted, on the same set of axes. Use a dashed curve for the inverse.

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Q 241Q 241
Graph the inverse of the function plotted, on the same set of axes. Use a dashed curve for the inverse.

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Q 242Q 242
Graph the inverse of the function plotted, on the same set of axes. Use a dashed curve for the inverse.

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Q 243Q 243
Graph the inverse of the function plotted, on the same set of axes. Use a dashed curve for the inverse.
 Function is its own inverse.
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Q 244Q 244
Write the word or phrase that best completes each statement or answers the question.
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

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Q 245Q 245
Write the word or phrase that best completes each statement or answers the question.
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.
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Q 246Q 246
Write the word or phrase that best completes each statement or answers the question.
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

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Q 247Q 247
Write the word or phrase that best completes each statement or answers the question.
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

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Q 248Q 248
Write the word or phrase that best completes each statement or answers the question.
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

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Q 249Q 249
Write the word or phrase that best completes each statement or answers the question.
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

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Q 250Q 250
Write the word or phrase that best completes each statement or answers the question.
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

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Q 251Q 251
Write the word or phrase that best completes each statement or answers the question.
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

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Q 252Q 252
Choose the one alternative that best completes the statement or answers the question.
Solve the problem.

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Q 253Q 253
Choose the one alternative that best completes the statement or answers the question.
Solve the problem.

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Q 254Q 254
Choose the one alternative that best completes the statement or answers the question.
Solve the problem.

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Q 255Q 255
Choose the one alternative that best completes the statement or answers the question.
Solve the problem.

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Q 256Q 256
Choose the one alternative that best completes the statement or answers the question.
Solve the problem.

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Q 257Q 257
Choose the one alternative that best completes the statement or answers the question.
Solve the problem.

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Q 258Q 258
Choose the one alternative that best completes the statement or answers the question.
Solve the problem.

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Q 259Q 259
Choose the one alternative that best completes the statement or answers the question.
Solve the problem.

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Q 260Q 260
Choose the one alternative that best completes the statement or answers the question.
Solve the problem.

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Q 261Q 261
Choose the one alternative that best completes the statement or answers the question.
Solve the problem.

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Q 262Q 262
Choose the one alternative that best completes the statement or answers the question.
Solve the problem.

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Q 263Q 263
Choose the one alternative that best completes the statement or answers the question.
Solve the problem.

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Q 274Q 274
Sketch the graph of y1 as a solid line or curve. Then sketch the graph of y2 as a dashed line or curve by one or more of
these: a vertical and/or horizontal shift of the graph y1, a vertical stretch or shrink of the graph of y1, or a reflection of the
graph of y1 across an axis.

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Q 275Q 275
Sketch the graph of y1 as a solid line or curve. Then sketch the graph of y2 as a dashed line or curve by one or more of
these: a vertical and/or horizontal shift of the graph y1, a vertical stretch or shrink of the graph of y1, or a reflection of the
graph of y1 across an axis.

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Q 276Q 276
Sketch the graph of y1 as a solid line or curve. Then sketch the graph of y2 as a dashed line or curve by one or more of
these: a vertical and/or horizontal shift of the graph y1, a vertical stretch or shrink of the graph of y1, or a reflection of the
graph of y1 across an axis.

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Q 277Q 277
Sketch the graph of y1 as a solid line or curve. Then sketch the graph of y2 as a dashed line or curve by one or more of
these: a vertical and/or horizontal shift of the graph y1, a vertical stretch or shrink of the graph of y1, or a reflection of the
graph of y1 across an axis.

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Q 278Q 278
Sketch the graph of y1 as a solid line or curve. Then sketch the graph of y2 as a dashed line or curve by one or more of
these: a vertical and/or horizontal shift of the graph y1, a vertical stretch or shrink of the graph of y1, or a reflection of the
graph of y1 across an axis.

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Q 279Q 279
Sketch the graph of y1 as a solid line or curve. Then sketch the graph of y2 as a dashed line or curve by one or more of
these: a vertical and/or horizontal shift of the graph y1, a vertical stretch or shrink of the graph of y1, or a reflection of the
graph of y1 across an axis.

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Q 280Q 280
Sketch the graph of y1 as a solid line or curve. Then sketch the graph of y2 as a dashed line or curve by one or more of
these: a vertical and/or horizontal shift of the graph y1, a vertical stretch or shrink of the graph of y1, or a reflection of the
graph of y1 across an axis.

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Q 281Q 281
Sketch the graph of y1 as a solid line or curve. Then sketch the graph of y2 as a dashed line or curve by one or more of
these: a vertical and/or horizontal shift of the graph y1, a vertical stretch or shrink of the graph of y1, or a reflection of the
graph of y1 across an axis.

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Q 282Q 282
Sketch the graph of y1 as a solid line or curve. Then sketch the graph of y2 as a dashed line or curve by one or more of
these: a vertical and/or horizontal shift of the graph y1, a vertical stretch or shrink of the graph of y1, or a reflection of the
graph of y1 across an axis.

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Q 283Q 283
Sketch the graph of y1 as a solid line or curve. Then sketch the graph of y2 as a dashed line or curve by one or more of
these: a vertical and/or horizontal shift of the graph y1, a vertical stretch or shrink of the graph of y1, or a reflection of the
graph of y1 across an axis.

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Q 284Q 284
Sketch the graph of y1 as a solid line or curve. Then sketch the graph of y2 as a dashed line or curve by one or more of
these: a vertical and/or horizontal shift of the graph y1, a vertical stretch or shrink of the graph of y1, or a reflection of the
graph of y1 across an axis.

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Q 285Q 285
Sketch the graph of y1 as a solid line or curve. Then sketch the graph of y2 as a dashed line or curve by one or more of
these: a vertical and/or horizontal shift of the graph y1, a vertical stretch or shrink of the graph of y1, or a reflection of the
graph of y1 across an axis.

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Q 303Q 303
Write the word or phrase that best completes each statement or answers the question.
Sketch the graph of the given function based on the graph of the function f given below.

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Q 304Q 304
Write the word or phrase that best completes each statement or answers the question.
Sketch the graph of the given function based on the graph of the function f given below.

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Q 305Q 305
Write the word or phrase that best completes each statement or answers the question.
Sketch the graph of the given function based on the graph of the function f given below.

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Q 306Q 306
Write the word or phrase that best completes each statement or answers the question.
Sketch the graph of the given function based on the graph of the function f given below.

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Q 307Q 307
Write the word or phrase that best completes each statement or answers the question.
Sketch the graph of the given function based on the graph of the function f given below.

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Q 308Q 308
Write the word or phrase that best completes each statement or answers the question.
Sketch the graph of the given function based on the graph of the function f given below.

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Q 309Q 309
Write the word or phrase that best completes each statement or answers the question.
Sketch the graph of the given function based on the graph of the function f given below.

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Q 310Q 310
Write the word or phrase that best completes each statement or answers the question.
Sketch the graph of the given function based on the graph of the function f given below.

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Q 311Q 311
Write the word or phrase that best completes each statement or answers the question.
Sketch the graph of the given function based on the graph of the function f given below.

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Q 312Q 312
Write the word or phrase that best completes each statement or answers the question.
Sketch the graph of the given function based on the graph of the function f given below.

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Q 313Q 313
Choose the one alternative that best completes the statement or answers the question.
Write a mathematical expression for the quantity described verbally.

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Q 314Q 314
Choose the one alternative that best completes the statement or answers the question.
Write a mathematical expression for the quantity described verbally.

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Q 315Q 315
Choose the one alternative that best completes the statement or answers the question.
Write a mathematical expression for the quantity described verbally.

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Q 316Q 316
Choose the one alternative that best completes the statement or answers the question.
Write a mathematical expression for the quantity described verbally.

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Q 317Q 317
Choose the one alternative that best completes the statement or answers the question.
Write a mathematical expression for the quantity described verbally.

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Q 318Q 318
Choose the one alternative that best completes the statement or answers the question.
Write a mathematical expression for the quantity described verbally.

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Q 319Q 319
Choose the one alternative that best completes the statement or answers the question.
Write a mathematical expression for the quantity described verbally.

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Q 320Q 320
Choose the one alternative that best completes the statement or answers the question.
Write a mathematical expression for the quantity described verbally.

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Q 321Q 321
Choose the one alternative that best completes the statement or answers the question.
Write a mathematical expression for the quantity described verbally.

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Q 322Q 322
Choose the one alternative that best completes the statement or answers the question.
Write a mathematical expression for the quantity described verbally.

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Q 339Q 339
Use an equation to solve the problem.
A tire of a moving bicycle has radius 16 inches. If the tire is making 3 rotations per second, find the bicycle's speed in miles per hour.
A) 19.7 mph
B) 5.7 mph
C) 17.1 mph
D) 18.6 mph
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Q 340Q 340
Solve the problem.
Sue invested $10,000, part at 5.9% annual interest and the balance at 6.7% annual interest. How much is invested at each rate if a 1year interest payment is $645.52?
A) $2960 at 5.9% and $4160 at 6.7%
B) $3160 at 5.9% and $6840 at 6.7%
C) $3060 at 5.9% and $6940 at 6.7%
D) $6940 at 5.9% and $3060 at 6.7%
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Q 341Q 341
Solve the problem.
Helen Weller invested $14,000 in an account that pays 10% simple interest. How much additional money must be invested in an account that pays 13% simple interest so that the average return on the two investments
Amounts to 11%?
A) $10,000
B) $7000
C) $11,000
D) $14,000
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Q 342Q 342
Solve the problem.
Mardi received an inheritance of $60,000. She invested part at 11% and deposited the remainder in taxfree bonds at 12%. Her total annual income from the investments was $6800. Find the amount invested at 11%.
A) $39,000
B) $20,000
C) $40,000
D) $53,200
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Q 343Q 343
Solve the problem.
A traveling salesperson averaged 48 miles per hour on a 246 mile trip. How many hours were spent on the trip?
A) 2.56 hours
B) 0.2 hours
C) 198 hours
D) 5.13 hours
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Q 344Q 344
Solve the problem.
An airplane leaves Los Angeles for Denver at a speed of 400 mph. Thirty minutes later, a plane going from Denver to Los Angeles leaves Denver, which is 850 miles from Los Angeles, at a speed of 470 mph. When they
Meet, how far are they from Denver?
A) 351 miles
B) 59 miles
C) 293 miles
D) 117 miles
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Q 345Q 345
Solve the problem.
The speed of a freight train is 23 mph slower than that of a passenger train. The freight train travels 350 mi in the same time it takes the passenger train to travel 440 mi. Find the speed of the passenger train.
A) 225 mph
B) 5 mph
C) 3 mph
D) 112 mph
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Q 346Q 346
Solve the problem.
On a recent trip, Sarah's car traveled 20 mph faster on the first 200 miles than it did on the remaining 80 miles. The total time for the trip was 4 hr. Find the speed of Sarah's car on the first part of the trip.
A) 68 mph
B) 57 mph
C) 77 mph
D) 13 mph
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Q 347Q 347
Solve the problem.
How many liters of a 30% alcohol solution must be mixed with 90 liters of a 80% solution to get a 60% solution?
A) 150 L
B) 6 L
C) 60 L
D) 15 L
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Q 348Q 348
Solve the problem.
In a chemistry class, 7 liters of a 4% silver iodide solution must be mixed with a 10% solution to get a 6% solution. How many liters of the 10% solution are needed?
A) 2.5 L
B) 4.5 L
C) 7.0 L
D) 3.5 L
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Q 349Q 349
Solve the problem.
Anne and Nancy use a metal alloy that is 18.6% copper to make jewelry. How many ounces of a 12% alloy must be mixed with a 23% alloy to form 75 ounces of the desired alloy?
A) 32 ounces
B) 30 ounces
C) 45 ounces
D) 50 ounces
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Q 350Q 350
Tell which of the following types of regression is likely to give the most accurate model for the scatter plot shown: linear
regression, quadratic regression, cubic regression, exponential regression, sinusoidal regression.

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Q 351Q 351
Tell which of the following types of regression is likely to give the most accurate model for the scatter plot shown: linear
regression, quadratic regression, cubic regression, exponential regression, sinusoidal regression.

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Q 352Q 352
Tell which of the following types of regression is likely to give the most accurate model for the scatter plot shown: linear
regression, quadratic regression, cubic regression, exponential regression, sinusoidal regression.

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Q 353Q 353
Tell which of the following types of regression is likely to give the most accurate model for the scatter plot shown: linear
regression, quadratic regression, cubic regression, exponential regression, sinusoidal regression.

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Q 354Q 354
Tell which of the following types of regression is likely to give the most accurate model for the scatter plot shown: linear
regression, quadratic regression, cubic regression, exponential regression, sinusoidal regression.

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Q 355Q 355
Tell which of the following types of regression is likely to give the most accurate model for the scatter plot shown: linear
regression, quadratic regression, cubic regression, exponential regression, sinusoidal regression.

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