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Worksheets

Piecewise Functions Practice

Total questions: 52

Worksheet time: 3hrs 37mins

Name
Class
Date
1.
What is g(7) if:
a)
-17
b)
-13 
c)
13       
d)
17
2.
What is m(-3) if:    
a)
-3
b)
0.5
c)
3
d)
-3.5
3.
Using the pictured graph, what is f(-3)? 
a)
-3
b)
-1
c)
1
d)
3
4.
What is f(-1)?
a)
6
b)
-2
c)
sqrt(2)
d)
DNE
5.
What is f(-2)?
a)
4
b)
1
c)
1
d)
DNE
6.
What is the RANGE of the function?
a)
(-∞, +∞)
b)
(-∞, 4]
c)
(-∞, 4)
d)
[0, 4]
7.
What is the DOMAIN of the function?
a)
(-∞, +∞)
b)
(-∞, 4]
c)
(-∞, 4)
d)
[0, 4]
8.
What is f when x equals 4?
a)
-5
b)
0
c)
3
d)
6
9.
Using the pictured graph, what is f(-3)? 
a)
-3
b)
-1
c)
1
d)
3
10.
What is g(7) if:
a)
-17
b)
-13 
c)
13       
d)
17
11.
What is m(-3) if:    
a)
-3
b)
0.5
c)
3
d)
-3.5
12.
What is f(6)?
a)
20
b)
33
c)
3
d)
3, -3
13.
Evaluate the function when x = 6 
a)
f(6) = -5
b)
f(6) = 4
c)
f(6) = 2
d)
f(6) = 7
14.

What is g(-2) if:

a)

-7

b)

7

c)

1

d)

-1

15.

Evaluate the function when x = 4

a)

f(4) = 2(4) - 5 = 3

b)

f(4) = 2(4) - 5 = -1

c)

f(4) = ½(4) + 1 = 3

d)

f(4) = 4

16.
Find f(-2)
a)
-3
b)
6
c)
8
d)
-6
17.

Find f(0)

a)

-3

b)

18

c)

4

d)

0

18.

What is f(-1)?

a)

6

b)

-2

c)

0

d)

Error (Nonreal)

19.
What is m(-3) if:    
a)
-3
b)
0.5
c)
3
d)
-3.5
20.

What is f(0)

a)

-5

b)

0

c)

1

d)

2

21.
Use the piecewise function from the picture.  Evaluate f(-4).
a)
7
b)
7.9
c)
-4
d)
-25
22.
Evaluate this function for x=2
a)
f(2) = 4
b)
f(2) = 3
c)
f(2) = -3
d)
f(2) = 5
23.
What is the value of f(0)?
a)
-2
b)
2
c)
4
d)
0
24.
What is f(-2)?
a)
4
b)
1
c)
1
d)
DNE
25.

What is g(7)?

a)

-17

b)

-13

c)

13

d)

17

26.

What is f(-12)?

a)

7

b)

204

c)

-48

d)

-84

27.

Evaluate t(0)

a)

0

b)

19

c)

9

d)

-19

28.
What is f(-2)?
a)
4
b)
1
c)
1
d)
DNE
29.

What is m(-3)?

a)

-3

b)

0.5

c)

3

d)

-3.5

30.

Find f(2)

a)

f(2) = 0

b)

f(2) = 1

c)

f(2) = 3

d)

f(2) = 4

31.

What is m(4) if:

a)

-3

b)

0.5

c)

0

d)

-3.5

32.

What is m(-3) if:

a)

-3

b)

0.5

c)

3

d)

-3.5

33.

What is f(1)?

a)

6

b)

-2

c)

sqrt(2)

d)

Undefined

34.

Find f(2)

a)

3

b)

-2

c)

2

d)

infinite outputs

35.

What is the value of f(-3)?

a)

-4

b)

-2

c)

2

d)

6

36.
What is f when x equals 0?
a)
-5
b)
0
c)
1/2
d)
1
37.
What is f when x equals 4?
a)
-5
b)
0
c)
3
d)
6
38.
What is f when x equals 8?
a)
0
b)
5
c)
11
d)
16
39.
A piecewise function (f(x)) is shown in the graph. What is f when x equals -4?
a)
-4
b)
-2
c)
0
d)
Does not exist
40.
A piecewise function (f(x)) is shown in the graph. What is f when x equals 0?
a)
-4
b)
0
c)
1
d)
Does not exist
41.
A piecewise function (f(x)) is shown in the graph. What is f when x equals 2?
a)
0
b)
3
c)
4
d)
Does not exist
42.
For what value of x is the function g equal to 4?
a)
-9
b)
0
c)
2
d)
g cannot equal 4
43.
What is g when x equals 4?
a)
-3/2
b)
0
c)
4
d)
16
44.
Evaluate f(-5)
a)
0
b)
2
c)
5
d)
-4
45.
What is m(-3) if:    
a)
-3
b)
0.5
c)
3
d)
-3.5
46.
What is f(2)?
a)
0
b)
1
c)
2
d)
-1
47.
According to this graph, what is the function value when x = 4 ?
a)
-3
b)
4
c)
0
d)
-2
48.
A piecewise function (f(x)) is shown in the graph. What is f when x equals 2?
a)
0
b)
3
c)
4
d)
Does not exist
49.
What is f(-4)?
a)
-4
b)
2
c)
-2
d)
4
50.
What is f(2)?
a)
0
b)
-5
c)
-2
d)
1
51.
g(x) = 11 - x
Find g(-7) 
a)
g(-7) = 4
b)
g(-7) = 17
c)
g(-7) = 18
d)
g(-7) = -77
52.
Evaluate f(t)=-2t2+ 1 for f(2)
a)
9
b)
17
c)
-17
d)
-7