math 2
Qu esti on 1
5 points Sa ve
Determine whether the equation is a function.
y = 3x2 - 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
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
Answer the question about the given function.
Given the function f(x) = , if x = -2, what is f(x)? What point is on the graph of f?
; ( , -2)
- ; (-2, - )
- ; (- , -2)
; (-2, )
Qu esti on 4
5 points Sa ve
Solve the problem.
If f(x) = 4x3 + 7x2 - 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
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 esti 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 esti 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
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) = 2x3
even odd neither
Qu esti on 9
5 points Sa ve
Determine algebraically whether the function is even, odd, or neither.
f(x) = 2x3
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�
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) = .
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
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
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) = 5x4 - 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) =
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) = -5x2 + 4
even odd
neither
Qu esti on 20
5 points Sa ve
Answer the question about the given function.
Given the function f(x) = -3x2 - 6x - 6, is the point (-1, -3) on the graph of f?
Yes No