Algebra Chapter 4 Mid-Chapter Review Functions And Linear Modeling Worksheet With Answer Key Page 4
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8Algebra
Name __________________________________
CHAPTER 4 MID-CHAPTER
REVIEW-KEY
FUNCTIONS AND LINEAR MODELING
Period ______ Date ______________________
IF THE ANSWER TO A PROBLEM IS NOT EXACT, ROUND IT TO THE NEAREST TENTH OR EXPRESS IT AS
A MIXED NUMBER
1.
Luis Libertarian used the code shown to the
Input
A
I
L B R
T
U S E N
T
right to encrypt his name. Is this code a
Output C M Z R E W K N I
T
X
function? If so, explain why; if not, make the
appropriate changes to make it a function.
This code is not a function because letter T is sent to both W and X. That is, we have two different
outputs for the same input. However, to make it a function, we could send T to W only.
2.
For each set of ordered pairs, determine whether they represent a function and state the domain
and range.
a.
(–5, 2), (5, 6), (9, –4), (0, –5), (4, 6)
b.
(–4, 2), (–3, 5), (9, 2), (1,-5), (-3, 9), (8, 2)
Function?
Function?
This set of ordered pairs does
This set of ordered pairs represents a
not represent a function because -3 has
function.
two outputs (-3 and 9).
Domain?
Domain?
The domain is {-5, 5, 9, 0, 4}
The domain is {-4,-3,9,1,8}
Range?
Range?
The range is {2,6, -4, -5}
The range is {2,5,-5,9}
3.
Sketch the following:
a.
A graph of a relation that is NOT a function
b.
A graph of a function
Answers vary. The following is an example.
Answers vary. The following is an example.
4.
The graph shows Fred Freedom’s
energy level during the school day.
a. At what time was his energy level
highest?
Fred’s energy level was the highest
at 2:00 P.M.
b. Between what times was his
energy level rising fastest?
Fred’s energy level was rising the
fastest between 12:00 P.M. and
1:00 P.M.
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