Deck 1: Functions and Their Graphs

Question 1

Determine whether the equation defines y as a function of x.
$$y = | x |$$

A) function
B) not a function

Answer 1

A

Question 2

Determine whether the equation defines y as a function of x.
$$y ^ { 2 } + x = 5$$

A) function
B) not a function

Answer 2

B

Question 3

Find the value for the function.
Find f( $$( x - 1 ) \text { when } f ( x ) = 2 x ^ { 2 } - 2 x + 2$$ A) $2 x ^ { 2 } + 2 x + 2$
B) $2 x ^ { 2 } - 6 x + 2$
C) $- 6 x ^ { 2 } + 2 x + 6$
D) $2 x ^ { 2 } - 6 x + 6$

Answer 3

D

Question 4

Determine whether the equation defines y as a function of x.
$$y = \frac { 3 x - 4 } { x - 2 }$$

A) function
B) not a function

Question 5

Determine whether the equation defines y as a function of x.
$$x + 8 y = 4$$

A) function
B) not a function

Question 6

Find the value for the function.
$$\text { Find } f ( 1 ) \text { when } f ( x ) = x ^ { 2 } - 5 x - 2$$

A) -6
B) 8
C) -2
D) 4

Question 7

Determine whether the equation defines y as a function of x.
$$y ^ { 2 } = 5 - x ^ { 2 }$$

A) function
B) not a function

Question 8

Determine whether the equation defines y as a function of x.
y = x²

A) function
B) not a function

Question 9

Find the value for the function.
Find -f(x) when f(x) = -2x² - 5x + 2. A) $2 x ^ { 2 } + 5 x + 2$
B) $- 2 x ^ { 2 } + 5 x + 2$
C) $- 2 x ^ { 2 } + 5 x - 2$
D) $2 x ^ { 2 } + 5 x - 2$

Question 10

Find the value for the function.
Find -f(x) when f(x) = |x| + 1. A) $| - x | - 1$
B) $- | x | - 1$
C) $- | x | + 1$
D) $| - x | + 1$

Question 11

Determine whether the equation defines y as a function of x.
$$x = y ^ { 2 }$$

A) function
B) not a function

Question 12

Determine whether the equation defines y as a function of x.
$$- 7 x + x ^ { 2 } + 35 = y$$

A) function
B) not a function

Question 13

Find the value for the function.
$$\text { Find } f ( - 9 ) \text { when } f ( x ) = | x | - 6$$

A) 15
B) -3
C) -15
D) 3

Question 14

Find the value for the function.
$$\text { Find } f ( 8 ) \text { when } f ( x ) = \sqrt { x ^ { 2 } + 6 x }$$ A) $4 \sqrt { 7 }$
B) $\sqrt { 42 }$
C) $\sqrt { 70 }$
D) 10

Question 15

Determine whether the equation defines y as a function of x.
$$x ^ { 2 } - 4 y ^ { 2 } = 1$$

A) function
B) not a function

Question 16

Find the value for the function.
$$\text { Find } f ( - x ) \text { when } f ( x ) = 3 x ^ { 2 } - 4 x + 5$$ A) $- 3 x ^ { 2 } + 4 x - 5$
B) $- 3 x ^ { 2 } + 4 x + 5$
C) $3 x ^ { 2 } + 4 x - 5$
D) $3 x ^ { 2 } + 4 x + 5$

Question 17

Determine whether the equation defines y as a function of x.
$$y = \frac { 1 } { x }$$

A) function
B) not a function

Question 18

Determine whether the equation defines y as a function of x.
$$y = 2 x ^ { 2 } - 5 x + 9$$

A) function
B) not a function

Question 19

Find the value for the function.
$$( - x ) \text { when } f ( x ) = \frac { x } { x ^ { 2 } + 1 }$$ A) $\frac { - x } { x ^ { 2 } + 1 }$
B) $\frac { - x } { - x ^ { 2 } + 1 }$
C) $\frac { x } { - x ^ { 2 } + 1 }$
D) $\frac { - x } { x ^ { 2 } - 1 }$

Question 20

Determine whether the equation defines y as a function of x.
$$y = \pm \sqrt { 1 - 6 x }$$

A) function
B) not a function

Question 21

Find the value for the function.
Find f( $$f ( 2 x ) \text { when } f ( x ) = \sqrt { 5 x ^ { 2 } + 9 x }$$ A) $2 \sqrt { 5 x ^ { 2 } + 9 x }$
B) $\sqrt { 10 x ^ { 2 } + 18 x }$
C) $\sqrt { 20 x ^ { 2 } + 18 x }$
D) $\sqrt { 10 x ^ { 2 } + 36 x }$

Question 22

Solve the problem.
$$\text { If } f ( x ) = 7 x ^ { 3 } + 5 x ^ { 2 } - x + C \text { and } f ( 3 ) = 1$$ hat is the value of C?

A) C = 148
B) C = 238
C) C = -230
D) C = -20

Question 23

Solve the problem.
If a rock falls from a height of 40 meters on Earth, the height H (in meters) after x seconds is approximately $$H ( x ) = 40 - 4.9 x ^ { 2 }$$ When does the rock strike the ground? Round to the nearest hundredth, if necessary.

A) 1.67 sec
B) 8.16 sec
C) 2.86 sec
D) 1.29 sec

Question 24

For the given functions f and g, find the requested function and state its domain.
$$f ( x ) = 3 - 2 x ; g ( x ) = - 9 x + 2$$ Find f + g. A) $( f + g ) ( x ) = 7 x + 5 ; \left\{ x \mid x \neq \frac { 5 } { 7 } \right\}$
B) $( f + g ) ( x ) = - 11 x + 5 ;$ all real numbers
$C ) ( f + g ) ( x ) = - 6 x ;$ all real numbers
D) $( f + g ) ( x ) = - 9 x + 3 ; \left\{ x \mid x \neq \frac { 1 } { 3 } \right\}$

Question 25

Find the domain of the function.
$$g ( x ) = \frac { 2 x } { x ^ { 2 } - 81 }$$

A) {x|x > 81}
B) {x|x ≠-9, 9}
C) {x|x ≠ 0}
D) all real numbers

Question 26

Find the domain of the function.
$$f ( x ) = - 4 x - 5$$

A) {x|x > 0}
B) {x|x ≠ 0}
C) {x|x ≥ 5}
D) all real numbers

Question 27

Solve the problem.
$$\text { If } f ( x ) = \frac { x - 5 A } { - 10 x + 2 }$$

A) A = 100
B) A = -104
C) A = 104
D) A = -100

Question 28

Find the domain of the function.
$$h ( x ) = \frac { x - 1 } { x ^ { 3 } - 25 x }$$

A) {x|x ≠-5, 0, 5}
B) {x|x ≠ 0}
C) all real numbers
D) {x|x ≠1}

Question 29

Find the domain of the function.
f(x) = x² + 5

A) {x|x > -5}
B) {x|x ≥ -5}
C) {x|x ≠-5}
D) all real numbers

Question 30

Solve the problem.
If a rock falls from a height of 30 meters on Earth, the height H (in meters) after x seconds is approximately $$H ( x ) = 30 - 4.9 x ^ { 2 }$$ What is the height of the rock when x = 1.9 seconds? Round to the nearest hundredth, if necessary.

A) 20.69 m
B) 12.67 m
C) 12.31 m
D) 47.69 m

Question 31

Solve the problem.
$$( x ) = \frac { x - B } { x - A } , f ( - 1 ) = 0 \text {, and } f ( - 3 )$$

A) A = 1, B = 3
B) A = 3, B = 1
C) A = -3, B = -1
D) A = -1, B = -3

Question 32

Find the domain of the function.
$$f ( x ) = \frac { x } { x ^ { 2 } + 4 }$$

A) {x|x > -4}
B) all real numbers
C) {x|x ≠-4}
D) {x|x ≠ 0}

Question 33

Find the value for the function.
Find $$( - x ) \text { when } f ( x ) = 2 x ^ { 2 } - 3 x - 2$$ A) $- 2 x ^ { 2 } + 3 x + 2$
B) $- 2 x ^ { 2 } + 3 x - 2$
C) $2 x ^ { 2 } + 3 x + 2$
D) $2 x ^ { 2 } + 3 x - 2$

Question 34

For the given functions f and g, find the requested function and state its domain.
f(x) = 7x - 6; g(x) = 5x - 9 Find f - g. A) $( f - g ) ( x ) = 12 x - 15 ; \{ x \mid x \neq 1 \}$
B) $( f - g ) ( x ) = 2 x - 15 ; \left\{ x \mid x \neq \frac { 15 } { 2 } \right\}$
C) $( f - g ) ( x ) = - 2 x - 3$ ; all real numbers
D) $( f - g ) ( x ) = 2 x + 3$ ; all real numbers

Question 35

For the given functions f and g, find the requested function and state its domain.
f(x) = 3x - 4; g(x) = 6x - 2 Find f · g. A) $( f \cdot g ) ( x ) = 18 x ^ { 2 } - 30 x + 8$ ; all real numbers
B) $( f \cdot g ) ( x ) = 18 x ^ { 2 } + 8 ; \{ x \mid x \neq 8 \}$
C) $( f \cdot g ) ( x ) = 9 x ^ { 2 } - 30 x - 6$ ; all real numbers
D) $( f \cdot g ) ( x ) = 18 x ^ { 2 } - 26 x + 8 ; \{ x \mid x \neq 8 \}$

Question 36

Find the domain of the function.
$$f ( x ) = \sqrt { 9 - x }$$

A) $\{ x \mid x \neq 9 \}$
B) {x|x ≤9}
C) {x|x ≤3}
D) {x|x ≠3}

Question 37

Find the value for the function.
$$f ( x + h ) \text { when } f ( x ) = \frac { - 3 x + 8 } { 7 x - 9 }$$ A) $\frac { - 3 x - 3 h + 8 } { 7 x - 9 }$
B) $\frac { - 3 x + 5 h } { 7 x - 2 h }$
C) $\frac { - 3 x + 8 h } { 7 x - 9 h }$
D) $\frac { - 3 x - 3 h + 8 } { 7 x + 7 h - 9 }$

Question 38

Find the value for the function.
Find f( $$( x + h ) \text { when } f ( x ) = 2 x ^ { 2 } - 2 x - 5$$ A) $2 x ^ { 2 } + 2 x h + 2 h ^ { 2 } - 2 x - 2 h - 5$
B) $2 x ^ { 2 } + 4 x h + 2 h ^ { 2 } - 2 x - 2 h - 5$
C) $2 x ^ { 2 } + 2 h ^ { 2 } + 2 x + 2 h - 5$
D) $2 x ^ { 2 } + 2 h ^ { 2 } - 2 x - 2 h - 5$

Question 39

Find the value for the function.
$$( x + 1 ) \text { when } f ( x ) = \frac { x ^ { 2 } - 2 } { x + 5 }$$ Find f( A) $\frac { x ^ { 2 } + 2 x - 1 } { x - 4 }$
B) $\frac { x ^ { 2 } - 1 } { x + 6 }$
C) $\frac { x ^ { 2 } + 2 x - 1 } { x + 6 }$
D) $\frac { x ^ { 2 } + 2 x + 3 } { x + 6 }$

Question 40

Find the domain of the function.
$$\frac { x } { \sqrt { x - 10 } }$$

A) {x|x ≥ 10}
B) all real numbers
C) {x|x > 10}
D) {x|x ≠10}

Question 41

Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if
any, and any symmetry with respect to the x-axis, the y-axis, or the origin.

A) function
B) function domain: {x|-7 ≤ x ≤7} domain: {x|-7 ≤ x ≤7}
Range: {y|-7 ≤ y ≤ 7} range: {y|-7 ≤ y ≤ 7}
Intercepts: (-7, 0), (0, -7), (0, 0), (0, 7), (7, 0) intercepts: (-7, 0), (0, -7), (0, 7), (7, 0)
Symmetry: origin symmetry: x-axis, y-axis, origin
C) function
D) not a function domain: {x|-7 ≤ x ≤7}
Range: {y|-7 ≤ y ≤ 7}
Intercepts: (-7, 0), (0, -7), (0, 7), (7, 0)
Symmetry: x-axis, y-axis

Question 42

Solve the problem.
$$\text { Given } f ( x ) = \frac { 1 } { x } \text { and } \left( \frac { f } { g } \right) ( x ) = \frac { x - 4 } { x ^ { 2 } - 6 x } \text {, find the function } g \text {. }$$ A) $g ( x ) = \frac { x + 4 } { x + 6 }$
B) $g ( x ) = \frac { x + 6 } { x + 4 }$
C) $g ( x ) = \frac { x - 4 } { x - 6 }$
D) $g ( x ) = \frac { x - 6 } { x - 4 }$

Question 43

For the given functions f and g, find the requested function and state its domain.
$$f ( x ) = \sqrt { x } ; g ( x ) = 5 x - 8$$
Find $\frac { \mathrm { f } } { \mathrm { g } }$ . A) $\left( \frac { f } { g } \right) ( x ) = \frac { 5 x - 8 } { \sqrt { x } } ; \{ x \mid x \geq 0 \}$
B) $\left( \frac { f } { g } \right) ( x ) = \frac { \sqrt { x } } { 5 x - 8 } ; \left\{ x \mid x \geq 0 , x \neq \frac { 8 } { 5 } \right\}$
C) $\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } ) = \frac { \sqrt { \mathrm { x } } } { 5 \mathrm { x } - 8 } ; \left\{ \mathrm { x } \mid \mathrm { x } \neq \frac { 8 } { 5 } \right\}$
D) $\left( \frac { f } { g } \right) ( x ) = \frac { \sqrt { x } } { 5 x - 8 } ; \{ x \mid x \neq 0 \}$

Question 44

Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if
any, and any symmetry with respect to the x-axis, the y-axis, or the origin.

A) function
B) function domain: {x|-2 ≤ x ≤2} domain: all real numbers
Range: all real numbers range: {y|y ≤-2 or y ≥ 2}
Intercepts: (-2, 0), (2, 0) intercepts: (-2, 0), (2, 0)
Symmetry: x-axis, y-axis symmetry: y-axis
C) function
D) not a function domain: {x|x ≤-2 or x ≥ 2}
Range: all real numbers
Intercepts: (-2, 0), (2, 0)
Symmetry: x-axis, y-axis, origin

Question 45

For the given functions f and g, find the requested function and state its domain.
$$\begin{array} { l } f ( x ) = x + 6 ; g ( x ) = 3 x ^ { 2 } \\\text { Find } f + g\end{array}$$ A) $( f + g ) ( x ) = - 3 x ^ { 2 } + x + 6$ ; all real numbers
B) $( f + g ) ( x ) = 3 x ^ { 2 } - x - 6 ;$ all real numbers
C) $( f + g ) ( x ) = 3 x ^ { 2 } + x + 6 ; \{ x \mid x \neq - 6 \}$
D) $( f + g ) ( x ) = 3 x ^ { 2 } + x + 6$ ; all real numbers

Question 46

Find and simplify the difference quotient of f $$\frac { f ( x + h ) - f ( x ) } { h }$$ , h ≠ 0, for the function.
f(x) = 4x - 2

A) 0 B) $4 + \frac { - 4 } { h }$
C) $4 + \frac { 8 ( x - 2 ) } { h }$
D) 4

Question 47

For the given functions f and g, find the requested function and state its domain.
f(x) = 5x + 4; g(x) = 5x - 3 $$\text { Find } \frac { \mathrm { f } } { \mathrm { g } } \text {. }$$ A) $\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } ) = \frac { 5 \mathrm { x } - 3 } { 5 \mathrm { x } + 4 } ; \left\{ \mathrm { x } \mid \mathrm { x } \neq \frac { 3 } { 5 } \right\}$
B) $\left( \frac { f } { g } \right) ( x ) = \frac { 5 x - 3 } { 5 x + 4 } ; \left\{ x \mid x \neq - \frac { 4 } { 5 } \right\}$
C) $\left( \frac { f } { g } \right) ( x ) = \frac { 5 x + 4 } { 5 x - 3 } ; \left\{ x \mid x \neq \frac { 3 } { 5 } \right\}$
D) $\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } ) = \frac { 5 \mathrm { x } + 4 } { 5 \mathrm { x } - 3 } ; \left\{ \mathrm { x } \mid \mathrm { x } \neq - \frac { 4 } { 5 } \right\}$

Question 48

For the given functions f and g, find the requested function and state its domain.
$$f ( x ) = \sqrt { x + 13 } ; g ( x ) = \frac { 4 } { x }$$ Find f · g. A) $( f \cdot g ) ( x ) = \frac { \sqrt { 4 x + 52 } } { x } ; \{ x \mid x \geq - 13 , x \neq 0 \}$
B) $( f \cdot g ) ( x ) = \sqrt { \frac { 17 } { x } } ; \{ x \mid x \neq 0 \}$
C) $( f \cdot g ) ( x ) = \frac { 4 \sqrt { x + 13 } } { x } ; \{ x \mid x \geq - 13 , x \neq 0 \}$
D) $( f \cdot g ) ( x ) = \sqrt { \frac { 4 x + 52 } { x } } ; \{ x \mid x \geq - 13 , x \neq 0 \}$

Question 49

Solve the problem.
Suppose that P(x) represents the percentage of income spent on housing in year x and I(x) represents income in year x. Determine a function H that represents total housing expenditures in year x.

A) H(x) = (P · I)(x)
B) H(x) = (P + I)(x)
C) $$\mathrm { H } ( \mathrm { x } ) = \left( \frac { \mathrm { I } } { \mathrm { P } } \right) ( \mathrm { x } )$$
D) H(x) = (I - P)(x)

Question 50

Solve the problem.
A retail store buys 225 VCRs from a distributor at a cost of $205 each plus an overhead charge of $20 per order. The retail markup is 40% on the total price paid. Find the profit on the sale of one VCR.

A) $82.04
B) $82.00
C) $8204.00
D) $81.96

Question 51

Find and simplify the difference quotient of f $$\frac { f ( x + h ) - f ( x ) } { h }$$ , h ≠ 0, for the function.
$$( x ) = \frac { 1 } { 7 x }$$ A) $\frac { - 1 } { x ( x + h ) }$
B) $\frac { 1 } { 7 x }$
C) 0
D) $\frac { - 1 } { 7 x ( x + h ) }$

Question 52

Find and simplify the difference quotient of f $$\frac { f ( x + h ) - f ( x ) } { h }$$ , h ≠ 0, for the function.
$$f ( x ) = x ^ { 2 } + 6 x - 8$$

A) 2x+ h - 8
B) $$\frac { 2 x ^ { 2 } + 2 x + 2 x h + h ^ { 2 } + h - 16 } { h }$$
C) 1
D) 2x+ h + 6

Question 53

Solve the problem.
Express the gross salary G of a person who earns $40 per hour as a function of the number x of hours worked. A) $G ( x ) = \frac { 40 } { x }$
B) $G ( x ) = 40 x ^ { 2 }$
C) $G ( x ) = 40 x$
D) $G ( x ) = 40 + x$

Question 54

For the given functions f and g, find the requested function and state its domain.
$$f ( x ) = \sqrt { 7 - x } ; g ( x ) = \sqrt { x - 3 }$$
Find $f \cdot g$ . A) $( f \cdot g ) ( x ) = \sqrt { ( 7 - x ) ( x - 3 ) } ; \{ x \mid x \geq 0 \}$
B) $( f \cdot g ) ( x ) = \sqrt { ( 7 - x ) ( x - 3 ) } ; \{ x \mid x \neq 3 , x \neq 7 \}$
C) $( f \cdot g ) ( x ) = \sqrt { - x ^ { 2 } - 21 } ; \{ x \mid x \neq 21 \}$
D) $( f \cdot g ) ( x ) = \sqrt { ( 7 - x ) ( x - 3 ) } ; \{ x \mid 3 \leq x \leq 7 \}$

Question 55

For the given functions f and g, find the requested function and state its domain.
$$f ( x ) = 16 - x ^ { 2 } ; g ( x ) = 4 - x$$
Find $f + g$ . A) $( f + g ) ( x ) = - x ^ { 2 } - x + 20 ; \{ x \mid x \neq 4 , x \neq - 5 \}$
B) $( f + g ) ( x ) = 4 + x ; \{ x \mid x \neq - 4 \}$
C) $( f + g ) ( x ) = - x ^ { 2 } + x + 12 ;$ all real numbers
D) $( f + g ) ( x ) = x ^ { 3 } - 4 x ^ { 2 } - 16 x + 64$ ; all real numbers

Question 56

Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if
any, and any symmetry with respect to the x-axis, the y-axis, or the origin.

A) function
B) function domain: all real numbers domain: {x|x > 0}
Range: {y|y > 0} range: all real numbers
Intercept: (1, 0) intercept: (0, 1)
Symmetry: none symmetry: origin
C) function
D) not a function domain: {x|x > 0}
Range: all real numbers
Intercept: (1, 0)
Symmetry: none

Question 57

Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if
any, and any symmetry with respect to the x-axis, the y-axis, or the origin.

A) function
B) function domain: all real numbers domain: {x|x ≤9}
Range: {y|y ≤9} range: all real numbers
Intercepts: (0, -4), (8, 0), (0, 2) intercepts: (-4, 0), (0, 8), (2, 0)
Symmetry: none symmetry: y-axis
C) function
D) not a function domain: all real numbers
Range: {y|y ≤9}
Intercepts: (-4, 0), (0, 8), (2, 0)
Symmetry: none

Question 58

For the given functions f and g, find the requested function and state its domain.
$$f ( x ) = 5 x ^ { 3 } - 2 ; g ( x ) = 5 x ^ { 2 } + 3$$
Find $f \cdot g$ . A) $( f \cdot g ) ( x ) = 5 x ^ { 3 } + 5 x ^ { 2 } - 6$ ; all real numbers
B) $( f \cdot g ) ( x ) = 25 x ^ { 6 } + 15 x ^ { 3 } - 10 x ^ { 2 } - 6$ ; all real numbers
C) $( f \cdot g ) ( x ) = 25 x ^ { 5 } + 15 x ^ { 3 } - 10 x ^ { 2 } - 6$ ; all real numbers
D) $( f \cdot g ) ( x ) = 25 x ^ { 5 } + 15 x ^ { 3 } - 10 x ^ { 2 } - 6 ; \{ x \mid x \neq 0 \}$

Question 59

For the given functions f and g, find the requested function and state its domain.
$$f ( x ) = \frac { 5 x - 8 } { 9 x - 2 } ; g ( x ) = \frac { 3 x } { 9 x - 2 }$$ Find f - g. A) $( f - g ) ( x ) = \frac { 2 x - 8 } { 9 x - 2 } ; \left\{ x \mid x \neq \frac { 2 } { 9 } , x \neq 4 \right\}$
B) $( f - g ) ( x ) = \frac { 2 x - 8 } { 9 x - 2 } ; \left\{ x \mid x \neq \frac { 2 } { 9 } \right\}$
C) $( \mathrm { f } - \mathrm { g } ) ( \mathrm { x } ) = \frac { 8 \mathrm { x } + 8 } { 9 \mathrm { x } - 2 } ; \left\{ \mathrm { x } \mid \mathrm { x } \neq \frac { 2 } { 9 } \right\}$
D) $( f - g ) ( x ) = \frac { 2 x - 8 } { 9 x - 2 } ; \{ x \mid x \neq 0 \}$

Question 60

Solve the problem.
Jacey, a commissioned salesperson, earns $180 base pay plus $47 per item sold. Express Jacey's gross salary G as a function of the number x of items sold. A) $G ( x ) = 180 x + 47$
B) $G ( x ) = 47 ( x + 180 )$
C) $G ( x ) = 180 ( x + 47 )$
D) $G ( x ) = 47 x + 180$

Question 61

The graph of a function f is given. Use the graph to answer the question.
How often does the line y = 5 intersect the graph?

A) once
B) twice
C) three times
D) does not intersect

Question 62

The graph of a function f is given. Use the graph to answer the question.
How often does the line y = -10 intersect the graph?

A) once
B) twice
C) three times
D) does not intersect

Question 63

Answer the question about the given function.
Given the functi $$f ( x ) = x ^ { 2 } + 2 x - 99$$ , list the x-intercepts, if any, of the graph of f.

A) (-11, 0), (1, 0)
B) (-11, 0), (9, 0)
C) (11, 0), (-9, 0)
D) (11, 0), (9, 0)

Question 64

Given the functi is the point (-1, 4) on the graph of f?
$$f ( x ) = \frac { x ^ { 2 } - 3 } { x + 2 }$$

A) Yes
B) No

Question 65

The graph of a function f is given. Use the graph to answer the question.
For what numbers x is f(x) = 0?

A) (-3, 3.5)
B) -3, 3.5, 5
C) (-5, -3), (3.5, 5)
D) -3

Question 66

Answer the question about the given function.
Given the functi $$f ( x ) = 6 x ^ { 2 } - 12 x - 8$$ is the point (1, -14) on the graph of f?

A) Yes
B) No

Question 67

The graph of a function f is given. Use the graph to answer the question.
What is the domain of f?

A) {x|-100 ≤ x ≤ 100}
B) all real numbers
C) {x|-80 ≤ x ≤110}
D) {x|x ≥ 0}

Question 68

Given the functi is the point (-1, 4) on the graph of f?
$$f ( x ) = \frac { x ^ { 2 } - 9 } { x + 2 }$$ Given the functi , if x = -1, what is f(x)? What point is on the graph of f?

A) 10; (-1, 10)
B) - 8; (-1, - 8)
C) 10; (10, -1)
D) - 8; (- 8, -1)

Question 69

The graph of a function f is given. Use the graph to answer the question.
Is f(8) positive or negative?

A) positive
B) negative

Question 70

The graph of a function f is given. Use the graph to answer the question.
Is f(8) positive or negative?

A) positive
B) negative

Question 71

The graph of a function f is given. Use the graph to answer the question.
Use the graph of f given below to find f(10).

A) 20
B) 0
C) 10
D) 12

Question 72

Answer the question about the given function.
Given the functi $$f ( x ) = - 3 x ^ { 2 } + 6 x - 4$$ , list the y-intercept, if there is one, of the graph of f.

A) -4
B) -10
C) -1
D) -13

Question 73

Answer the question about the given function.
Given the functi $$f ( x ) = - 6 x ^ { 2 } - 12 x + 5$$ , what is the domain of f?

A) all real numbers
B) {x|x ≥ -1}
C) {x|x ≥ 1}
D) {x|x ≤-1}

Question 74

Given the functi is the point (-2, 1) on the graph of f?
$$f ( x ) = \frac { x ^ { 2 } - 3 } { x + 3 }$$

A) Yes
B) No

Question 75

Answer the question about the given function.
Given the functi $$f ( x ) = - 6 x ^ { 2 } + 12 x - 9$$ , if x = 1, what is f(x)? What point is on the graph of f?

A) -3; (1, -3)
B) -3; (-3, 1)
C) -27; (1, -27)
D) -27; (-27, 1)

Question 76

Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if
any, and any symmetry with respect to the x-axis, the y-axis, or the origin.

A) function
B) function domain: all real numbers domain: all real numbers
Range: all real numbers range: {y|y = 5 or y = -4}
Intercept: (0, -4) intercept: (0, -4)
Symmetry: none symmetry: none
C) function
D) not a function domain: {x|x = 5 or x = -4}
Range: all real numbers
Intercept: (-4, 0)
Symmetry: x-axis

Question 77

Answer the question about the given function.
Given the functi $$f ( x ) = - 2 x ^ { 2 } + 4 x + 3$$ , is the point (2, -1) on the graph of f?

A) Yes
B) No

Question 78

The graph of a function f is given. Use the graph to answer the question.
What are the x-intercepts?

A) -6
B) -6, 7
C) -6, 7, 10
D) -10, -6, 7, 10

Question 79

The graph of a function f is given. Use the graph to answer the question.
What is the y-intercept?

A) 50
B) -30
C) -40
D) 35

Question 80

The graph of a function f is given. Use the graph to answer the question.
For which of the following values of x does f(x) = -8?

A) -8
B) 6
C) 4
D) 0