Deck 1: Functions and Their Graphs

Question 1

Find the slope of the line determined by the equation.

A)

B)


C)

D)

E)

Answer 1

Question 2

Find the slope of the line passing through the pair of points: P (-19,-5); Q (-9,6)

A)
B)
C)
D)
E)

Answer 2

Question 3

Draw the line using the slope and y-intercept. y + 2 = 3x

A)


B)


C)


D)

Answer 3

Question 4

Find the slope of the line passing through the pair of points.

A)m = 7
B)m = 2
C)m = 1
D)m = -1
E)none of these

Question 5

Which graph represents the function? g(x) =

A)


B)


C)


D)


E)

Question 6

Find the slope of the line through P(-1,4) and Q(-5,0).

A)m = 0
B)m = 2
C)m = 3
D)m = 1
E)m = -1

Question 7

Tell where the function is increasing.

A)
B)always constant
C)always increasing
D)always decreasing
E)

Question 8

Graph the piecewise-defined function.

A)


B)


C)


D)

Question 9

Find the distance between the two points and .

A)68
B)65
C)133
D)136
E)204

Question 10

Write the equation of the line that passes through the point P (1, 4) and is perpendicular to the line y = - 4x + 18.

A)


B)


C)


D)

E)

Question 11

Graph the function.

A)


B)


C)


D)

Question 12

Find the midpoint of the line segment PQ. P(10, 1), Q(4, 7)

A)M (7, 4)
B)M (7, 3)
C)M (9, 4)
D)M (1, 0)
E)M (12, 7)

Question 13

Find the midpoint between the two points and .

A)
B)
C)
D)
E)

Question 14

Let . Find the composite function which expresses the given correspondence correctly.

A)
B)
C)
D)
E)none of the above

Question 15

Let f (x) = 2x + 1, g(x) = 3x - 2. Find the function.

A)


B)
C)
D)
E)none of the above

Question 16

Find the graph of the equation. f (x) = | x - 4 |

A)


B)


C)


D)

Question 17

Find the graph of the equation.

A)


B)


C)


D)

Question 18

Find the slope of the line.

A)m = 15
B)m = 22
C)m = 19
D)m = 18
E)m = -18

Question 19

Evaluate the difference quotient for the function. f (x) = 2x - 3

A)2
B)2x + 3
C)3
D)-3
E)

Question 20

Let f (x) = 2x - 1, g(x) = 3x - 2. Find the domain of the function.

A)
B)
C)
D)
E)

Question 21

Find the inverse of the one-to-one function. y = 5x + 2

A)


B)


C)


D)


E)none of the above

Question 22

Find the inverse of the one-to-one function. y = 7x

A)


B)


C)

D)


E)

Question 23

Determine whether the function is one-to-one.

A)No, it isn't one-to-one.
B)Yes, it is one-to-one.

Question 24

Determine whether the function is one-to- one. y = 5x

A)No, it isn't one-to-one.
B)Yes, it is one-to-one.