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WorksheetsPiecewise Functions
Total questions: 20
Worksheet time: 5hrs 0mins
Name
Class
Date
1.
Using the pictured graph, what is f(-3)?
a)
-3
b)
-1
c)
1
d)
3
2.
What is the domain of the graph?
a)
1≤ x ≤ 4
b)
1 < x < 4
c)
1≤ y ≤ 4
d)
1 < y < 4
3.
On the graph, which portion of the piecewise function is represented in red?
a)
x
b)
0.5x + 2.5
c)
-1
d)
0.5x + 2
4.
What is g(7) if:
a)
-17
b)
-13
c)
13
d)
17
5.
What is m(-3) if:
a)
-3
b)
0.5
c)
3
d)
-3.5
6.
Find f(0)
a)
-3
b)
18
c)
4
d)
0
7.
Find f(-2)
a)
-3
b)
6
c)
8
d)
-6
8.
What is the value of f(0)?
a)
-2
b)
2
c)
4
d)
0
9.
a)
A
b)
B
c)
C
d)
D
10.
What is the RANGE of the function?
a)
(-∞, +∞)
b)
(-∞, 4]
c)
(-∞, 4)
d)
[0, 4]
11.
What are the domain restrictions for the green piece of this function?
a)
-2 < x ≤ 1
b)
-1 < x ≤ 0.5
c)
x > -2
d)
x ≤ 1
12.
A house painter charges $12 per hour for the first 40 hours he works, $18 for the ten hours after that, and $24 for all hours after that.
How much does he earn for a 70 hour week?
a)
$1020
b)
$1140
c)
$840
d)
He works for free!
13.
Find x if y = 1
a)
x = -1
b)
x = 0
c)
-2 < x < 1
d)
x = -3 or x = 2
14.
What is the DOMAIN?
a)
(-∞, +∞)
b)
(-∞, -1] U [3, +∞)
c)
[-1, +∞)
d)
(-1, 0] U (0, +∞)
15.
Over which domain interval is the function behaving like a quadratic function?
a)
x > 2
b)
x ≥ 2
c)
x ≤ 2
d)
x < 2
16.
Match the graph with the correct equation.
a)
b)
c)
d)
17.
Match the graph with the correct equation.
a)
b)
c)
d)
18.
Evaluate f(x) for x=−9 and x=5
a)
f(−9)=0, f(5)=15
b)
f(−9)=0, f(5)=−6
c)
f(−9)=15, f(5)=0
d)
f(−9)=15, f(5)=−6
19.
For the graph shown. Which selection is the correct way to write the piecewise function?
a)
b)
c)
d)
20.
Select the correct range for this piecewise function.
a)
(−∞, +∞)
b)
[−12, 8]
c)
[−6, 4]
d)
[−3, 1]
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