edHelper subscribers - Create a new printable
Answer key also includes questions

Not a subscriber?  Sign up now for the subscriber materials!
Sample edHelper.com - Functions Worksheet

 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 - 15x2find f(4)
 5 f(x) = 13x + 7x2find 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 =
 481x

 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 + 15g(x) = -14x2 + 11x - 15find g(-5) × f(-4) - f(-3) × f(-4)
 17 f(x) = -13x - 13g(x) = -10x + 13find f(18) ÷ g(18)
 18 f(x) = 10x3 - 11x2 + 15x + 11g(x) = -12x3 + 13x2 - 13x + 13find 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)  = 5 x - 3

23.
h(x)  =
 -43
x   -
 23

24.
f(x)  =
 24x + -33

Verify that f and g are inverses of each other.
25.
f(x)  =
 23
x   -
 23

g(x) =
 32
x   +  1

26.
f(x)  =
 -5x + 83

g(x) =
 -35
x   +
 85

27.
f(x)  =
 18
x   -
 38

 g(x) = 8 x + 3

Write a compound function for the absolute value function.
28.
f(x)  =  |
1
 23
x  +
 58
|

29.
f(x)  =  |
2
 59
x  +
1
 13
|

30.
 f(x) = | -5 x + 18 |

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

32.
 f(x)=
 -2 x + 3
,  x < 6

 18x + -189
,  x 6

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

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

35.
f(x)  =
 x 2
g(x)  =
 12
(
 14
x)2

36.
f(x)  =
 x 2
g(x)  =
-2(
 19
x)2  -  4

Identify the transformation from f(x) to g(x).
37.
f(x)  =
 ( -2 x ) 2
g(x)  =
 - ( -2 x ) 2 - 6

38.
f(x)  =

 ( x )
g(x)  =

 ( - x )
+  3

39.
f(x)  =
 ( x + 2 ) 2 + 4
g(x)  =
9(
 13
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)  =
 x 2
with a horizontal stretch by a factor of 6

Sample
This is only a sample worksheet.

edHelper subscribers - Create a new printable
Answer key also includes questions