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Absolute Value and Step Function Review

Total questions: 15

Worksheet time: 24mins

Name
Class
Date
1.
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 
2.
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
3.
What is the Domain and Range of  the Function?
a)
D:[2,∞)
R:[0,∞)
b)
D: All Real numbers
R:[0,∞)
c)
D:(2,∞)
R:(0,∞)
d)
D:All Real Numbers
R:(0,∞)
4.
What is the range of the function?
a)
(-∞,4]
b)
(-∞,∞)
c)
[4, ∞)
d)
(4,∞)
5.
What is the domain of the absolute value function?
a)
(4, 0)
b)
(0, 4)
c)
(-∞,∞)
d)
[4, )∞
6.
 What is this type of function called?
a)
Discrete Function 
b)
Segment Function
c)
Step Function
d)
Jump Function
7.
Using the pictured graph, what is f(-3)? 
a)
-3
b)
-1
c)
1
d)
3
8.
What is g(4) if:
a)
-17
b)
-13 
c)
13       
d)
-5
9.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
10.
a)
Function
b)
Not a Function
11.
a)
Function
b)
Not a Function
12.
a)
Function
b)
Not a Function
13.
Morgan has $263.49 in her bank account.  She babysits two days each week.  Each time she babysits she earns $36.  She deposits all the money she earns into her bank account at the end of the week.  Which linear equation below best models the relationship between the total amount of money in Morgan's bank account(T) and the number of weeks(w) that have passed?
a)
T = 72w + 263.49
b)
T = 36w + 263.49
c)
T = 263.49w + 36
d)
w = 72T + 263.49
14.
Jeff has already read 50 pages of his book.  In 10 minutes he can read 8 pages.  If p represents the total number of pages he has read and m represents the number of minutes he reads, then which equation best models this situation?  If the book is 225 pages, will he finish the book in 3 hours?
a)
p = 4.2m + 50 and yes
b)
p = 1.25m + 50 and yes
c)
p = 0.8m + 50 and no
d)
p = 4.2m + 50 and no
15.
Which equation shows the number of bottles left (y) after (x) days?
A family buys a case of water with 48 bottles and drinks 5 bottles per day.
a)
y = 48 + 5x
b)
y = -5 + 48x
c)
y = -5x - 48
d)
y = 48 - 5x