# math 2

Qu
esti
on
1

5 points
Sa
ve

Determine whether the equation is a function.

y = 3×2 – 4x + 6

function
not a function

Qu
esti
on
2

5 points
Sa
ve

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.

function
domain: {x|x ≤ 0}
range: {y|y ≥ -2}
intercepts: (-2, 0), (0, -2), (2, 0)
symmetry: y-axis
function
domain: all real numbers
range: all real numbers
intercepts: (-2, 0), (0, -2), (2, 0)
symmetry: none
function
domain: {x|x ≥ -2}
range: {y|y ≤ 0}
intercepts: (-2, 0), (0, -2), (2, 0)
symmetry: none
not a function

javascript:saveItem(‘_10021154_1′,’1’)

javascript:saveItem(‘_10021154_1′,’1’)

javascript:saveItem(‘_10021155_1′,’2’)

javascript:saveItem(‘_10021155_1′,’2’)

Qu
esti
on
2
5 points
Sa
ve

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.

function
domain: {x|x ≤ 0}
range: {y|y ≥ -2}
intercepts: (-2, 0), (0, -2), (2, 0)
symmetry: y-axis
function
domain: all real numbers
range: all real numbers
intercepts: (-2, 0), (0, -2), (2, 0)
symmetry: none
function
domain: {x|x ≥ -2}
range: {y|y ≤ 0}
intercepts: (-2, 0), (0, -2), (2, 0)
symmetry: none
not a function

Qu
esti
on
3

5 points
Sa
ve

Given the function

f(x) =

, if x = -2, what is f(x)? What point is
on the graph of f?

; ( , -2)

– ; (-2, – )

– ; (- , -2)

; (-2, )

javascript:saveItem(‘_10021155_1′,’2’)

javascript:saveItem(‘_10021155_1′,’2’)

javascript:saveItem(‘_10021156_1′,’3’)

javascript:saveItem(‘_10021156_1′,’3’)

Qu
esti
on
4

5 points
Sa
ve

Solve the problem.

If f(x) = 4×3 + 7×2 – x + C and f(2) = 1, what is the value of C?

C = 7
C = 11
C = 63��C = -57���

Question 5�5 points �Save � �The graph of a fu

nction f is given. Use the graph to answer the question.

Find the numbers, if any, at which f has a local minimum. What are the
local minima?

f has a local minimum at x = -π and π; the local minimum is 2
f has a local minimum at x = 0; the local minimum is -2
f has a local minimum at x = -π; the local minimum is -2

f has no local minimum

javascript:saveItem(‘_10021157_1′,’4’)

javascript:saveItem(‘_10021157_1′,’4’)

javascript:saveItem(‘_10021158_1′,’5’)

Question 5�5 points �Save � �The graph of a fu
nction f is given. Use the graph to answer the question.
Find the numbers, if any, at which f has a local minimum. What are the
local minima?
f has a local minimum at x = -π and π; the local minimum is 2
f has a local minimum at x = 0; the local minimum is -2
f has a local minimum at x = -π; the local minimum is -2

f has no local minimum

Qu
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on
6

5 points
Sa
ve

Find the domain of the function.

f(x) =

{x|x ≤ 11}

{x|x ≠ }
{x|x ≠ 11}

{x|x ≤ }

Qu
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on
7

5 points
Sa
ve

Solve the problem.

Jacey, a commissioned salesperson, earns \$240 base pay plus \$40
per item sold. Express Jacey’s gross salary G as a function of the
number x of items sold.

G(x) = 240(x + 40)
G(x) = 40x + 240
G(x) = 40(x + 240)
G(x) = 240x +40

javascript:saveItem(‘_10021158_1′,’5’)

javascript:saveItem(‘_10021159_1′,’6’)

javascript:saveItem(‘_10021159_1′,’6’)

javascript:saveItem(‘_10021160_1′,’7’)

javascript:saveItem(‘_10021160_1′,’7’)

Qu
esti
on
8

5 points
Sa
ve

List the intercepts of the graph.Tell whether the graph is
symmetric with respect to the x-axis, y-axis, origin, or none of
these.

(0, 4) and (0, -4); symmetric to x-axis and y-axis
(0, 4) and (0, -4); symmetric to origin
(0, 4) and (0, -4); symmetric to x-axis, y-axis, and origin
(0, 4) and (0, -4); symmetric to y-axis

Qu
esti
on
9

5 points
Sa
ve

Determine algebraically whether the function is even, odd, or
neither.

f(x) = 2×3

even

odd
neither

javascript:saveItem(‘_10021161_1′,’8’)

javascript:saveItem(‘_10021161_1′,’8’)

javascript:saveItem(‘_10021162_1′,’9’)

javascript:saveItem(‘_10021162_1′,’9’)

Qu
esti
on
9
5 points
Sa
ve

Determine algebraically whether the function is even, odd, or
neither.
f(x) = 2×3

even
odd

neither

Qu
esti
on
10

5 points
Sa
ve

Determine whether the relation represents a function. If it is a
function, state the domain and range.

{(1, -2), (-3, -1), (-3, 0), (-2, 1), (6, 3)}

function
domain: {-2, -1, 0, 1, 3}
range: {1, -2, -3, 6}
function
domain: {1, -2, -3, 6}
range: {-2, -1, 0, 1, 3}

�not a function�

javascript:saveItem(‘_10021162_1′,’9’)

javascript:saveItem(‘_10021162_1′,’9’)

javascript:saveItem(‘_10021163_1′,’10’)

javascript:saveItem(‘_10021163_1′,’10’)

Qu
esti
on
10
5 points
Sa
ve

Determine whether the relation represents a function. If it is a
function, state the domain and range.
{(1, -2), (-3, -1), (-3, 0), (-2, 1), (6, 3)}
function
domain: {-2, -1, 0, 1, 3}
range: {1, -2, -3, 6}
function
domain: {1, -2, -3, 6}
range: {-2, -1, 0, 1, 3}

�not a function��� Question 11�5 points �Save � �The graph o

f a function f is given. Use the graph to answer the question.

Find the numbers, if any, at which f has a local minimum. What are the
local maxima?

f has a local minimum at x = -2.5 and 5; the local minimum at -2.5 is -3.3;
the local minimum at 5 is -2.5
f has a local maximum at x = -3.3 and -2.5; the local maximum at -3.3 is
-2.5; the local maximum at -2.5 is 5
f has a local minimum at x = -3.3 and -2.5; the local minimum at -3.3 is
-2.5; the local minimum at -2.5 is 5

f has a local maximum at x = -2.5 and 5; the local maximum at -2.5 is
-3.3; the local maximum at 5 is -2.5��

Question 12�5 points �Save � �Find t

he value for the function.

Find f(x + 1) when f(x) = .

javascript:saveItem(‘_10021163_1′,’10’)

javascript:saveItem(‘_10021163_1′,’10’)

javascript:saveItem(‘_10021164_1′,’11’)

javascript:saveItem(‘_10021165_1′,’12’)

Question 12�5 points �Save � �Find t
he value for the function.

Find f(x + 1) when f(x) = .

Qu
esti
on
13

5 points
Sa
ve

List the intercepts of the graph.Tell whether the graph is
symmetric with respect to the x-axis, y-axis, origin, or none of
these.

(-1, 0), (0, 0), (1, 0); symmetric to origin, x-axis, and y-axis
(-1, 0), (0, 0), (1, 0); symmetric to origin
(-1, 0), (0, 0), (1, 0); symmetric to y-axis
(-1, 0), (0, 0), (1, 0); symmetric to x-axis

javascript:saveItem(‘_10021165_1′,’12’)

javascript:saveItem(‘_10021166_1′,’13’)

javascript:saveItem(‘_10021166_1′,’13’)

Qu
esti
on
13
5 points
Sa
ve

List the intercepts of the graph.Tell whether the graph is
symmetric with respect to the x-axis, y-axis, origin, or none of
these.

(-1, 0), (0, 0), (1, 0); symmetric to origin, x-axis, and y-axis
(-1, 0), (0, 0), (1, 0); symmetric to origin
(-1, 0), (0, 0), (1, 0); symmetric to y-axis
(-1, 0), (0, 0), (1, 0); symmetric to x-axis

Qu
esti
on
14

5 points
Sa
ve

Solve the problem.

A farmer has 400 yards of fencing to enclose a rectangular garden.
Express the area A of the rectangle as a function of the width x of the
rectangle. What is the domain of A?

A(x) = x2 + 200x; {x|0 < x < 200}

A(x) = -x2 + 200x; {x|0 < x < 200}

A(x) = -x2 + 200x; {x|0 < x < 400}

A(x) = -x2 + 400x; {x|0 < x < 400}

Qu
esti
on
15

5 points
Sa
ve

Determine whether the equation is a function.

y = x2

function
not a function

javascript:saveItem(‘_10021166_1′,’13’)

javascript:saveItem(‘_10021166_1′,’13’)

javascript:saveItem(‘_10021167_1′,’14’)

javascript:saveItem(‘_10021167_1′,’14’)

javascript:saveItem(‘_10021168_1′,’15’)

javascript:saveItem(‘_10021168_1′,’15’)

Qu
esti
on
16

5 points
Sa
ve

Determine algebraically whether the function is even, odd, or
neither.

f(x) =
even

odd���neither��� Question 17�5 points �Save � �Determine alg

ebraically whether the function is

even, odd, or neither.

f(x) = 5×4 – x2

even
odd
neither

Qu
esti
on
18

5 points Save � �For the function, find the average rate of change of f

from 1 to x:

f(x) =

javascript:saveItem(‘_10021169_1′,’16’)

javascript:saveItem(‘_10021169_1′,’16’)

javascript:saveItem(‘_10021170_1′,’17’)

javascript:saveItem(‘_10021171_1′,’18’)

Qu
esti
on
18
5 points Save � �For the function, find the average rate of change of f
from 1 to x:
f(x) =

Qu
esti
on
19

5 points Save � �Determine algebraically whether the function is

even, odd, or neither.

f(x) = -5×2 + 4

even
odd
neither

Qu
esti
on
20

5 points
Sa
ve

Given the function f(x) = -3×2 – 6x – 6, is the point (-1, -3) on the graph
of f?

Yes
No

javascript:saveItem(‘_10021171_1′,’18’)

javascript:saveItem(‘_10021172_1′,’19’)

javascript:saveItem(‘_10021173_1′,’20’)

javascript:saveItem(‘_10021173_1′,’20’)