edHelper subscribers - Create a new printable
Answer key also includes questions
Answer key only gives the answers
No answer key

Not a subscriber?  Sign up now for the subscriber materials! 		   Sample edHelper.com - Functions Worksheet
Return to Functions Worksheets
Return to Algebra Worksheets
Return to Math

 

Name _____________________________
Date ___________________

Functions and Relations Review
(Answer ID # 0135858)
State the domain and range for each. Is the relation a function?
1.   {(2.5, -0.5), (3.6, -8.2),
(-5.8, -0.5), (-0.3, -0.5),
(5.1, 1.4)}
2.   {(0, 9), (1, 7),
(3, -3), (-3, -1)}
3.   {(3, 4), (8, -7),
(6, -4), (8, 8),
(3, -2), (5, 4)}

Complete.
4.   f(x) = 15x - 15x2
find f(4)
5.   f(x) = 13x + 7x2
find f(-8)
6.  
f(x) =
3x + 11 + 10x2
-5 + 6x

find f(3)

State the domain and range for each.
7.   {(2, -9), (5, 3),
(3, 4), (-6, -9)}
8.   {(2, -3), (-4, -3),
(5, -3), (8, -3),
(1, -3)}
9.   y = -10x3 + 2

State the domain and range for each.
10.  
y =
481

x
11.   y = (11x + 2)3 - 175
12.   y = x2 + 4

 

State for each of the following relations whether y is a function of x.
13.   13 + 11y3 = x
14.   8y = 5x2
15.   97 = 4y2 + 13x2

Complete.
16.   f(x) = 11x + 15
g(x) = -14x2 + 11x - 15

find g(-5) × f(-4) - f(-3) × f(-4)
17.   f(x) = -13x - 13
g(x) = -10x + 13

find f(18) ÷ g(18)
18.   f(x) = 10x3 - 11x2 + 15x + 11
g(x) = -12x3 + 13x2 - 13x + 13

find f(18)-g(18)

State the inverse of each relation. Is the inverse a function?
19.   {(-1, -3), (-5, 16), (13, -2),
(-11, 19)}
20.   {(-10, -4), (-15, 17), (-5, -7),
(18, 8), (-7, -1)}
21.   {(10, 0), (-13, -14), (8, 1),
(16, -14), (2, -15), (-17, -14)}

State the inverse of each function.
22.  
g(x)  =    5x   -  3
23.  
h(x)  =    
-4

3
x   -  
2

3
24.  
f(x)  =    
24x + -3

3

 

Verify that f and g are inverses of each other.
25.  
f(x)  =    
2

3
x   -  
2

3

g(x) =  
3

2
x   +  1
26.  
f(x)  =    
-5x + 8

3

g(x) =  
-3

5
x   +  
8

5
27.  
f(x)  =    
1

8
x   -  
3

8

g(x) =  8x   +  3

Write a compound function for the absolute value function.
28.  
f(x)  =  |
1
2

3
x  +  
5

8
|
29.  
f(x)  =  |
2
5

9
x  +  
1
1

3
|
30.  
f(x)  =  |-5x  +  18|

Sketch the graph of the compound function.
31.  
f(x)=
 x   +  3
  ,  x < -1
-(-6x  +  4)
  ,  x -1
 
32.  
f(x)=
 -2x   +  3
  ,  x < 6
 
18x + -18

9
  ,  x 6
 
33.  
f(x)=
 2x   +  5
  ,  x < -2
 3x   +  1
  ,  x -2
 

Identify the transformation from f(x) to g(x).
34.  
f(x)  =  
x2
g(x)  =  
-(x  -  6)2  +  2
35.  
f(x)  =  
x2
g(x)  =  
1

2
(
1

4
x)2
36.  
f(x)  =  
x2
g(x)  =  
-2(
1

9
x)2  -  4

 

Identify the transformation from f(x) to g(x).
37.  
f(x)  =  
(-2x)2
g(x)  =  
-(-2x)2  -  6
38.  
f(x)  =  
  
(x)
g(x)  =  
  
(-x)
  +  3
39.  
f(x)  =  
(x  +  2)2  +  4
g(x)  =  
9(
1

3
x  +  2)2  +  4

Complete.
40.   write the graph of
f(x)  =  
  
(x)
with a reflection across the y-axis
41.   write the graph of
f(x)  =  
 | 
x
 | 
with a vertical compression by a factor of 1/6, a vertical translation 5 units up, and a horizontal stretch by a factor of 6
42.   write the graph of
f(x)  =  
x2
with a horizontal stretch by a factor of 6

 

Answer Key

Sample
This is only a sample worksheet.
edHelper subscribers - Create a new printable
Answer key also includes questions
Answer key only gives the answers
No answer key

Not a subscriber?  Sign up now for the subscriber materials! 		   Sample edHelper.com - Functions Worksheet
Return to Functions Worksheets
Return to Algebra Worksheets
Return to Math