Name: ________________________ Class: ___________________ Date: __________
ID: A
Ch2 Function Review Part 1
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Determine whether the relation represents a function. If it is a function, state the domain and range.
a.
____
function
domain: {3, 5, 7, 9}
range: {9, 15, 21, 27}
b. function
domain:{9, 15, 21, 27}
range: {3, 5, 7, 9}
c. not a function
2. Determine whether the relation represents a function. If it is a function, state the domain and range.
a.
b.
____
not a function
function
domain: {Alice, Brad, Carl}
range: {snake, cat, dog}
c. function
domain: {snake, cat, dog}
range: {Alice, Brad, Carl}
3. Determine whether the relation represents a function. If it is a function, state the domain and range.
{(-3, 7), (2, 5), (5, -3), (8, -2)}
a. not a function
b. function
domain: {-3, 2, 5, 8}
range: {7, 5, -3, -2}
c. function
domain: {7, 5, -3, -2}
range: {-3, 2, 5, 8}
1
Name: ________________________
ID: A
____
4. Determine whether the relation represents a function. If it is a function, state the domain and range.
____
{(19, -4), (3, -3), (3, 0), (12, 3), (28, 5)}
a. function
domain: {19, 12, 3, 28}
range: {-4, -3, 0, 3, 5}
b. not a function
c. function
domain: {-4, -3, 0, 3, 5}
range: {19, 12, 3, 28}
5. Determine whether the equation defines y as a function of x.
____
y2 = 6 - x 2
a. not a function
b. function
6. Determine whether the equation defines y as a function of x.
____
y = 2x2 - 5x + 9
a. not a function
b. function
7. Determine whether the equation defines y as a function of x.
y=
____
a. not a function
8. Find the value for the function.
b.
function
c.
d.
-3x2 + 3x + 2
3x2 + 3x - 2
____
Find f(-x) when f(x) = 3x2 - 3x - 2.
a. -3x2 + 3x - 2
b. 3x2 + 3x + 2
9. Find the value for the function.
Find -f(x) when f(x) = 2x2 - 3x + 4.
a. 2x2 + 3x + 4
b. 2x2 + 3x - 4
____ 10. Find the domain of the function.
c.
d.
-2x2 + 3x - 4
-2x2 + 3x + 4
c.
d.
{x|x
{x|x
c.
d.
{x|x -3, 3}
all real numbers
f(x) =
a. {x|x > -7}
b. all real numbers
____ 11. Find the domain of the function.
0}
-7}
g(x) =
a.
b.
{x|x 0}
{x|x > 9}
2
Name: ________________________
ID: A
____ 12. Find the domain of the function.
h(x) =
a. {x|x -4, 0, 4}
b. all real numbers
____ 13. Find the domain of the function.
a.
{x|x
5}
c.
d.
{x|x
{x|x
0}
4}
c.
all real numbers
b. {x|x 5}
d. {x|x > 5}
____ 14. 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.
b.
c.
d.
function
domain: {x|-1 x 1}
range: all real numbers
intercepts: (-1, 0), (1, 0)
symmetry: x-axis, y-axis
function
domain: {x|x -1 or x 1}
range: all real numbers
intercepts: (-1, 0), (1, 0)
symmetry: x-axis, y-axis, origin
not a function
function
domain: all real numbers
range: {y|y -1 or y 1}
intercepts: (-1, 0), (1, 0)
symmetry: y-axis
3
Name: ________________________
ID: A
____ 15. 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.
b.
c.
d.
function
domain: {x|x 9}
range: all real numbers
intercepts: (-4, 0), (0, 8), (2, 0)
symmetry: y-axis
not a function
function
domain: all real numbers
range: {y|y 9}
intercepts: (0, -4), (8, 0), (0, 2)
symmetry: none
function
domain: all real numbers
range: {y|y 9}
intercepts: (-4, 0), (0, 8), (2, 0)
symmetry: none
4
Name: ________________________
ID: A
____ 16. 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.
b.
c.
d.
not a function
function
domain: {x|-7 x 7}
range: {y|-7 y 7}
intercepts: (-7, 0), (0, -7), (0, 0), (0, 7), (7, 0)
symmetry: origin
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, origin
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
5
Name: ________________________
ID: A
____ 17. 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.
b.
c.
d.
not a function
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
6
Name: ________________________
ID: A
____ 18. The graph of a function is given. Decide whether it is even, odd, or neither.
a. neither
c. odd
b. even
____ 19. The graph of a function is given. Decide whether it is even, odd, or neither.
a.
b.
odd
neither
c.
7
even
Name: ________________________
ID: A
____ 20. The graph of a function is given. Decide whether it is even, odd, or neither.
a. even
c. neither
b. odd
____ 21. Determine algebraically whether the function is even, odd, or neither.
f(x) = -2x4 - x2
a. neither
c. odd
b. even
____ 22. Determine algebraically whether the function is even, odd, or neither.
f(x) = 5x3 - 9
a. odd
c. neither
b. even
____ 23. Determine algebraically whether the function is even, odd, or neither.
f(x) =
a.
b.
neither
odd
c.
8
even
Name: ________________________
ID: A
____ 24. The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on
the given interval.
(- 4, - 2)
a. decreasing
c. constant
b. increasing
____ 25. The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on
the given interval.
(0, 1)
a.
b.
constant
increasing
c.
9
decreasing
Name: ________________________
ID: A
____ 26. The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on
the given interval.
(0, 2)
a. decreasing
c. increasing
b. constant
____ 27. Use the graph to find the intervals on which it is increasing, decreasing, or constant.
a.
b.
c.
d.
Decreasing on (-3, -2) and (2, 4); increasing on (-1, 1); constant on (-2, -1) and (1, 2)
Decreasing on (-3, -1) and (1, 4); increasing on (-2, 1)
Decreasing on (-3, -2) and (2, 4); increasing on (-1, 1)
Increasing on (-3, -2) and (2, 4); decreasing on (-1, 1); constant on (-2, -1) and (1, 2)
10
Name: ________________________
ID: A
____ 28. Graph the function.
f(x) =
a.
c.
b.
d.
11
Name: ________________________
ID: A
____ 29. Graph the function.
f(x) =
a.
c.
b.
d.
12
Name: ________________________
ID: A
____ 30. Graph the function.
f(x) =
a.
c.
b.
d.
13
ID: A
Ch2 Function Review Part 1
Answer Section
MULTIPLE CHOICE
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A
A
B
B
A
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B
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A
D
A
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