ame: ________________________ Class: ___________________ Date: __________
ID: A
Functions Practice 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.
b.
____
not a function
function
domain: {Alice, Brad, Carl}
range: {snake, cat, dog}
c. function
domain: {snake, cat, dog}
range: {Alice, Brad, Carl}
2. Determine whether the relation represents a function. If it is a function, state the domain and range.
a.
b.
c.
not a function
function
domain: {cat, dog}
range: {Alice, Brad, Carl}
function
domain: {Alice, Brad, Carl}
range: {cat, dog}
1
ame: ________________________
____
ID: A
3. Determine whether the relation represents a function. If it is a function, state the domain and range.
{(2.99, 8.29), (2.999, -8.3), ( , 0), (1.67, -2)}
a.
b.
not a function
function
domain: {8.29, -8.3, 0, -2}
range: {2.99, 2.999,
c.
, 1.67}
function
domain: {2.99, 2.999,
, 1.67}
____
range: {8.29, -8.3, 0, -2}
4. Determine whether the equation defines y as a function of x.
____
y = |x|
a. function
b. not a function
5. Determine whether the equation defines y as a function of x.
____
y=±
a. not a function
b. function
6. Determine whether the equation defines y as a function of x.
____
y2 + x = 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
a.
c.
2
b.
d.
-1
c.
d.
15
3
Find f(1) when f(x) =
____
.
9. Find the value for the function.
Find f(-9) when f(x) = |x|- 6.
a. -15
b. -3
2
ame: ________________________
ID: A
____ 10. Find the value for the function.
Find f(-x) when f(x) = 3x 2 - 3x - 2.
a. -3x2 + 3x - 2
b. 3x2 + 3x + 2
____ 11. Find the domain of the function.
c.
d.
-3x2 + 3x + 2
3x2 + 3x - 2
c.
d.
{x|x -3, 3}
all real numbers
c.
{x|x
d.
{x|x
c.
all real numbers
g(x) =
a. {x|x 0}
b. {x|x > 9}
____ 12. Find the domain of the function.
f(x) =
a.
{x|x
}
b. {x|x 13}
____ 13. Find the domain of the function.
a.
{x|x
5}
13}
}
b. {x|x 5}
d. {x|x > 5}
____ 14. Match the graph to the function listed whose graph most resembles the one given.
a. square function
c. cube root function
b. cube function
d. square root function
____ 15. Match the graph to the function listed whose graph most resembles the one given.
a.
b.
reciprocal function
absolute value function
c.
d.
3
constant function
linear function
ame: ________________________
ID: A
____ 16. Match the graph to the function listed whose graph most resembles the one given.
a.
b.
cube root function
square function
c.
d.
4
cube function
square root function
ame: ________________________
ID: A
____ 17. Graph the function.
f(x) =
a.
c.
b.
d.
5
ame: ________________________
ID: A
____ 18. Graph the function.
f(x) = int (x)
a.
c.
b.
d.
____ 19. Find the domain of the rational function.
F(x) =
a.
b.
all real numbers
{x|x -6}
c.
d.
6
{x|x
{x|x
6}
0}
ame: ________________________
ID: A
____ 20. Find the domain of the rational function.
R(x) =
a. {x|x -3, x 3}
b. {x|x 0, x 9}
____ 21. Find the domain of the rational function.
c.
d.
{x|x -3, x 3, x
all real numbers
c.
d.
{x|x
{x|x
G(x) =
a.
b.
{x|x
{x|x
-5}
5}
7
-5, 5}
25}
-6}
ame: ________________________
ID: A
____ 22. Use the accompanying graph of y = f(x) to sketch the graph of the indicated equation.
y = 2f(x)
a.
c.
b.
d.
____ 23. Find the function.
Find the function that is finally graphed after the following transformations are applied to the graph of
The graph is shifted up 5 units, reflected about the x-axis, and finally shifted right 4 units.
a.
y=
-5
c.
y=-
-5
b.
y=-
+5
d.
y=-
+5
8
ame: ________________________
ID: A
____ 24. Graph the function by starting with the graph of the basic function and then using the techniques of
shifting, compressing, stretching, and/or reflecting.
f(x) = -x2
a.
c.
b.
d.
9
ame: ________________________
ID: A
____ 25. Graph the function by starting with the graph of the basic function and then using the techniques of
shifting, compressing, stretching, and/or reflecting.
f(x) = (-x)2
a.
c.
b.
d.
10
ID: A
Functions Practice 1
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
A
C
C
A
A
A
B
D
D
D
C
C
D
D
D
C
D
B
C
A
B
D
C
A
D
1