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Deck 11: Section 1: Functions
Full screen (f)
Question
Which of the following is the correct graph of 
?
A)
B)
C)
D)
?A)
B)
C)
D)
Question
Which choice below is the correct graph of 
?
A)
B)
C)
D)
?A)
B)
C)
D)
Question
Choose the function and x- and y-intercepts that best describe the graph. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Determine whether the table expresses the second variable as a function of the first variable. 
A) No
B) Yes
A) No
B) Yes
Question
Which choice below is the correct graph of 
?
A)
B)
C)
D)
?A)
B)
C)
D)
Question
Question
Which piecewise function is represented by the graph? 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Determine all asymptotes for the graph of the given function. Match your result to the correct answer below. 
A) Vertical : x = -8; Oblique: y = 5x.
B) Vertical : x = 8; Horizontal: x-axis.
C) Vertical : x = 8.
D) Vertical : x = 8; Oblique: y = 5x + 40.
A) Vertical : x = -8; Oblique: y = 5x.
B) Vertical : x = 8; Horizontal: x-axis.
C) Vertical : x = 8.
D) Vertical : x = 8; Oblique: y = 5x + 40.
Question
Use the vertical line test to determine which of the following graphs is not the graph of a function.
A)
B)
C)
D)
A)
B)
C)
D)
Question
Question
Find the domain of the given rational function. Match your result to the correct answer below. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Which of the following is the correct graph of the function 
?
A)
B)
C)
D)
?A)
B)
C)
D)
Question
Which choice below is the correct graph of 
?
A)
B)
C)
D)
?A)
B)
C)
D)
Question
Which of the following gives the correct domain and range of the relation {(-6, 1), (0, 1)}?
A) Domain = {-6, 0, 1}, range = {1}
B) Domain = {1}, range = {-6, 0}
C) Domain =
, range = {1}
D) Domain = {-6, 0}, range = {1}
A) Domain = {-6, 0, 1}, range = {1}
B) Domain = {1}, range = {-6, 0}
C) Domain =
, range = {1}D) Domain = {-6, 0}, range = {1}
Question
Question
Which choice below is the correct graph of 
?
A)
B)
C)
D)
?A)
B)
C)
D)
Question
Let f(x) = x2 - 2x + 3, g(x) = -2x + 2, and h(x) = |x - 3|. Which of the following is the correct evaluation of 
?
A)
B)
C) 2
D)
?A)
B)
C) 2
D)
Question
How are the graphs of 
and 
related?
A) The graph of g(x) is the same as that of f(x), but stretched along the y-axis by a factor of 9.
B) The graph of g(x) is the same as that of f(x), but translated downward by 9 units.
C) The graph of g(x) is the same as that of f(x), but shrunk along the y-axis by a factor of 9.
D) The graph of g(x) is the same as that of f(x), but translated upward by 9 units.
and related?A) The graph of g(x) is the same as that of f(x), but stretched along the y-axis by a factor of 9.
B) The graph of g(x) is the same as that of f(x), but translated downward by 9 units.
C) The graph of g(x) is the same as that of f(x), but shrunk along the y-axis by a factor of 9.
D) The graph of g(x) is the same as that of f(x), but translated upward by 9 units.
Question
A gas station charges $1.55 per gallon for regular gasoline. Write an expression for the cost c(g) as a function of the number of gallons g and use this function to determine c(12). Match your results to the correct answer below.
A) c(g) = 1.55g ; c(12) = $20.15
B)
; c(12) = $18.60
C) c(g) = 1.55 + g ; c(12) = $13.55
D) c(g) = 1.55g ; c(12) = $18.60
A) c(g) = 1.55g ; c(12) = $20.15
B)
; c(12) = $18.60C) c(g) = 1.55 + g ; c(12) = $13.55
D) c(g) = 1.55g ; c(12) = $18.60
Question
Question
Determine 
for 
. Match your result to the correct answer below.
A)
B)
C)
D)
for . Match your result to the correct answer below.A)
B)
C)
D)
Question
Question
Which of the following choices correctly shows the graphs of 
and its inverse?
A)
B)
C)
D)
and its inverse?A)
B)
C)
D)
Question
Let 
and 
. Find 
and match your result to the correct answer below.
A)
B) Undefined
C)
D)
and . Find and match your result to the correct answer below.A)
B) Undefined
C)
D)
Question
Question
Let f(x) = 2x + 3 and g(x) = x2 - 6x. Find 
and match your result to the correct answer below.
A) 2x2 - 12
B) 2x2 + 12x + 3
C) 2x2 - 12x + 3
D) 2x3 - 9x2 + 3x
and match your result to the correct answer below.A) 2x2 - 12
B) 2x2 + 12x + 3
C) 2x2 - 12x + 3
D) 2x3 - 9x2 + 3x
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Full screen (f)
Deck 11: Section 1: Functions
1
Which of the following is the correct graph of ?
A)
B)
C)
D)
?A)
B)
C)
D)
2
Which choice below is the correct graph of ?
A)
B)
C)
D)
?A)
B)
C)
D)
3
Choose the function and x- and y-intercepts that best describe the graph.
A)
B)
C)
D)
A)
B)
C)
D)
4
Determine whether the table expresses the second variable as a function of the first variable.
A) No
B) Yes
A) No
B) Yes
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5
Which choice below is the correct graph of ?
A)
B)
C)
D)
?A)
B)
C)
D)
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6
For the given polynomial, find the x-intercepts and determine the behavior of the graph of the polynomial at each x-intercept. Match your result to the correct answer below. f(x) = x2 + 7x + 12
A) Crosses at (-4, 0) and (3, 0)
B) Crosses at (4, 0) and (-3, 0)
C) Crosses at (4, 0) and (3, 0)
D) Crosses at (-4, 0) and (-3, 0)
A) Crosses at (-4, 0) and (3, 0)
B) Crosses at (4, 0) and (-3, 0)
C) Crosses at (4, 0) and (3, 0)
D) Crosses at (-4, 0) and (-3, 0)
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7
Which piecewise function is represented by the graph?
A)
B)
C)
D)
A)
B)
C)
D)
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8
Determine all asymptotes for the graph of the given function. Match your result to the correct answer below.
A) Vertical : x = -8; Oblique: y = 5x.
B) Vertical : x = 8; Horizontal: x-axis.
C) Vertical : x = 8.
D) Vertical : x = 8; Oblique: y = 5x + 40.
A) Vertical : x = -8; Oblique: y = 5x.
B) Vertical : x = 8; Horizontal: x-axis.
C) Vertical : x = 8.
D) Vertical : x = 8; Oblique: y = 5x + 40.
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9
Use the vertical line test to determine which of the following graphs is not the graph of a function.
A)
B)
C)
D)
A)
B)
C)
D)
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10
How are the graphs of f(x) = (x + 10)2 and g(x) = -(x + 10)2 related?
A) The graph of g(x) is the same as that of f(x), but reflected about the x-axis.
B) The graph of g(x) is the same as that of f(x), but translated upward by 10 units.
C) The graph of g(x) is the same as that of f(x), but translated 10 units to the left.
D) The graph of g(x) is the same as that of f(x), but translated 10 units to the right.
A) The graph of g(x) is the same as that of f(x), but reflected about the x-axis.
B) The graph of g(x) is the same as that of f(x), but translated upward by 10 units.
C) The graph of g(x) is the same as that of f(x), but translated 10 units to the left.
D) The graph of g(x) is the same as that of f(x), but translated 10 units to the right.
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11
Find the domain of the given rational function. Match your result to the correct answer below.
A)
B)
C)
D)
A)
B)
C)
D)
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12
Which of the following is the correct graph of the function ?
A)
B)
C)
D)
?A)
B)
C)
D)
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13
Which choice below is the correct graph of ?
A)
B)
C)
D)
?A)
B)
C)
D)
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14
Which of the following gives the correct domain and range of the relation {(-6, 1), (0, 1)}?
A) Domain = {-6, 0, 1}, range = {1}
B) Domain = {1}, range = {-6, 0}
C) Domain =
, range = {1}
D) Domain = {-6, 0}, range = {1}
A) Domain = {-6, 0, 1}, range = {1}
B) Domain = {1}, range = {-6, 0}
C) Domain =
, range = {1}D) Domain = {-6, 0}, range = {1}
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15
Determine whether the relation |6x| = |-7y| is a function.
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16
Which choice below is the correct graph of ?
A)
B)
C)
D)
?A)
B)
C)
D)
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17
Let f(x) = x2 - 2x + 3, g(x) = -2x + 2, and h(x) = |x - 3|. Which of the following is the correct evaluation of ?
A)
B)
C) 2
D)
?A)
B)
C) 2
D)
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18
How are the graphs of and related?
A) The graph of g(x) is the same as that of f(x), but stretched along the y-axis by a factor of 9.
B) The graph of g(x) is the same as that of f(x), but translated downward by 9 units.
C) The graph of g(x) is the same as that of f(x), but shrunk along the y-axis by a factor of 9.
D) The graph of g(x) is the same as that of f(x), but translated upward by 9 units.
and related?A) The graph of g(x) is the same as that of f(x), but stretched along the y-axis by a factor of 9.
B) The graph of g(x) is the same as that of f(x), but translated downward by 9 units.
C) The graph of g(x) is the same as that of f(x), but shrunk along the y-axis by a factor of 9.
D) The graph of g(x) is the same as that of f(x), but translated upward by 9 units.
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19
A gas station charges $1.55 per gallon for regular gasoline. Write an expression for the cost c(g) as a function of the number of gallons g and use this function to determine c(12). Match your results to the correct answer below.
A) c(g) = 1.55g ; c(12) = $20.15
B)
; c(12) = $18.60
C) c(g) = 1.55 + g ; c(12) = $13.55
D) c(g) = 1.55g ; c(12) = $18.60
A) c(g) = 1.55g ; c(12) = $20.15
B)
; c(12) = $18.60C) c(g) = 1.55 + g ; c(12) = $13.55
D) c(g) = 1.55g ; c(12) = $18.60
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20
How are the graphs of f(x) = x2 and g(x) = x2 + 6 related?
A) The graph of g(x) is the same as that of f(x), but translated upward by 6 units.
B) The graph of g(x) is the same as that of f(x), but translated downward by 6 units.
C) The graph of g(x) is the same as that of f(x), but translated 6 units to the right.
D) The graph of g(x) is the same as that of f(x), but translated 6 units to the left.
A) The graph of g(x) is the same as that of f(x), but translated upward by 6 units.
B) The graph of g(x) is the same as that of f(x), but translated downward by 6 units.
C) The graph of g(x) is the same as that of f(x), but translated 6 units to the right.
D) The graph of g(x) is the same as that of f(x), but translated 6 units to the left.
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21
Determine for . Match your result to the correct answer below.
A)
B)
C)
D)
for . Match your result to the correct answer below.A)
B)
C)
D)
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22
Determine whether the given function is invertible. If it is invertible, then find its inverse. Match your results to the correct answer below. {(-10,-13),(-8,-2),(1,-7)}
A) No
B) Yes ; {(-13,-10),(-2,-8),(-7,1)}
C) Yes ; {(-10,13),(-8,2),(1,7)}
D) Yes ; {(10,13),(8,2),(-1,7)}
A) No
B) Yes ; {(-13,-10),(-2,-8),(-7,1)}
C) Yes ; {(-10,13),(-8,2),(1,7)}
D) Yes ; {(10,13),(8,2),(-1,7)}
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23
Which of the following choices correctly shows the graphs of and its inverse?
A)
B)
C)
D)
and its inverse?A)
B)
C)
D)
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24
Let and . Find and match your result to the correct answer below.
A)
B) Undefined
C)
D)
and . Find and match your result to the correct answer below.A)
B) Undefined
C)
D)
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25
Determine whether f(x) = 5x and g(x) = 0.2x are inverses of each other.
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26
Let f(x) = 2x + 3 and g(x) = x2 - 6x. Find and match your result to the correct answer below.
A) 2x2 - 12
B) 2x2 + 12x + 3
C) 2x2 - 12x + 3
D) 2x3 - 9x2 + 3x
and match your result to the correct answer below.A) 2x2 - 12
B) 2x2 + 12x + 3
C) 2x2 - 12x + 3
D) 2x3 - 9x2 + 3x
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