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Worksheets5-1/5-2 Review (Absolute Value/Piecewise Functions)
Total questions: 20
Worksheet time: 20mins
Name
Class
Date
1.
What is the equation of the absolute value function?
a)
f(x)= |x+4|
b)
f(x)= |x-4|
c)
f(x)= |x| + 4
d)
f(x)= |x| - 4
2.
Which function defines the graph?
a)
f(x) = |x - 4| + 3
b)
f(x) = |x - 3| + 4
c)
f(x) = |-x + 4| + 3
d)
f(x) = |x + 4| + 3
3.
What is the equation of the graph below?
a)
f(x) = I x + 2 I
b)
f(x) = I x + 2 I +2
c)
f(x) = I x - 2 I +2
d)
f(x) = I x - 2 I
4.
Which equation shows a function that is translated left 4 and 7 up?
a)
y = |x + 4| + 7
b)
y = (x - 4)2 + 7
c)
y = (x + 7)2 - 4
d)
y = |x + 4| - 7
5.
.
The blue graphs is the parent function f(x)=|x|, the red must be
The blue graphs is the parent function f(x)=|x|, the red must be
a)
g(x)=|x+2|
b)
g(x)=|x|+2
c)
g(x)=|x-2|
d)
g(x)=|x|-2
6.
Identify the equation of the graph.
a)
y = |x - 1| - 1
b)
y = |x + 1| - 1
c)
y = |x - 1| +1
d)
y = |x + 1| + 1
7.
What is the range of the absolute value function?
a)
all real numbers
b)
y≥3
c)
y≥0
d)
y<0
8.
Describe the transformation from the Absolute Value Parent Function.
a)
Stretches more narrow, shifts right
b)
Stretches wider, shifts right
c)
Stretches more narrow, shifts left
d)
Stretches wider, shifts left
9.
Describe the transformations of the absolute value equation.
a)
Reflects over x-axis, compresses wider, shifts right 1 unit
b)
Reflects over x-axis, compresses wider, shifts up 1 unit
c)
Reflects over x-axis, stretches more narrow, shifts right 1 unit
d)
Reflects over x-axis, stretches more narrow, shifts up 1 unit
10.
What is the equation of the graph below?
a)
f(x ) = I x + 4 I + 2
b)
f(x ) = -I x - 4 I + 2
c)
f(x ) = I x - 4 I + 2
d)
f(x ) = -I x + 4 I + 2
11.
What is f when x equals 0?
a)
-5
b)
0
c)
1/2
d)
1
12.
What is f when x equals 4?
a)
-5
b)
0
c)
3
d)
6
13.
What is f when x equals 8?
a)
0
b)
5
c)
11
d)
16
14.
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
15.
How many pieces is this Piecewise Function composed of?
a)
1
b)
2
c)
3
d)
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.
Evaluate f(-5)
a)
0
b)
2
c)
5
d)
-4
19.
Evaluate the function when x = 6
a)
f(6) = -5
b)
f(6) = 4
c)
f(6) = 2
d)
f(6) = 7
20.
Evaluate f(3)=
a)
-1
b)
-7
c)
4
d)
5
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