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WorksheetsAbsolute Value Function
Total questions: 20
Worksheet time: 17mins
Name
Class
Date
1.
Select all that have a vertex of (2,3)
a)
y=∣x−2∣+3
b)
y=−∣x+2∣+3
c)
d)
e)
y=32∣x∣
2.
Determine the vertex for each absolute value function
a)
(-3, -1)
b)
(-3, 1)
c)
(3, -1)
d)
(3, 1)
3.
Determine the vertex of the function
a)
(-2, 5)
b)
(-2, -5)
c)
(2, 5)
d)
(2, -5)
4.
Determine the Domain of the function.
a)
[3, ∞ )
b)
(- ∞ , 3]
c)
[-3, ∞ 0
d)
All Reals
5.
Determine the Range of the function
a)
All Reals
b)
[2, ∞ )
c)
[3, ∞ )
d)
(- ∞ , 2]
6.
Determine the Range of the function
a)
[2, ∞ )
b)
(- ∞ , 2]
c)
[0, ∞ )
d)
(- ∞ , 0]
7.
What type of shape is an absolute value function?
a)
Line
b)
V
c)
U
d)
Z
8.
Select all that have positive "a" value.
a)
y=∣x−3∣
b)
y=41∣x∣+3
c)
y=5−2∣x+3∣
d)
e)
9.
Which graph matches the equation?
y=41∣x−1∣
a)
b)
c)
d)
10.
What are the x-intercept of the function
f(x)=−2∣x+4∣+8
a)
{-8,0}
b)
{0}
c)
{-4,8}
d)
None
11.
What is the y-intercept of the function
f(x)=∣x+3∣−7
a)
-4
b)
0
c)
3
d)
7
12.
Which function is graphed?
a)
f(x) = 2|x + 2| -4
b)
f(x) = 2|x - 4| + 2
c)
f(x) = |x + 2| - 4
d)
f(x) = -2|x - 4|
13.
Which function is graphed?
a)
f(x) = -|2x - 3| + 5
b)
f(x) = -|x + 5| - 3
c)
f(x) = -|2x + 6| + 5
d)
f(x) = -2|x + 5| - 3
14.
Which function is graphed?
a)
f(x) = 2|x - 5|
b)
f(x) = |x - 5|
c)
f(x) = |x - 5| + 5
d)
f(x) = |x| + 5
15.
Which function is graphed?
a)
f(x) = 2|x + 2| - 3
b)
f(x) = |1/2x + 2| - 3
c)
f(x) = |1/2x + 3| - 2
d)
f(x) = 4|1/2x + 3| - 2
16.
What is the equation of the graph below?
a)
f(x) = - I x + 2 I
b)
f(x) = - I x - 2 I
c)
f(x) = I x + 2 I
d)
f(x) = I x - 2 I
17.
What are the zeros of y=-3|x-2|+4
(a)
18.
What are the zeros of y=2|x+2|-7?
(a)
19.
What are the zeros of y=-|x-2|+8?
(a)
20.
What is the range of −3 1f(x)−∣x+4∣=3 ?
(a)
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