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UNIT 3 TEST REVIEW: FUNCTIONS
1. For each of the pair of relations below, determine which one is a function and explain your reasoning.
(a)
x
0
1
3
4
f(x)
0
2
3
3
x
0
1
2
2
f(x)
1
2
3
3
Function (Yes or No) __________
Explain:
Function (Yes or No) __________
Explain:
Function (Yes or No) __________
Explain:
Function (Yes or No) __________
Explain:
{(3,5),(7,8),(5,6),(-3,0)}
{(0,5),(1,4),(2,5),(1,5)}
Function (Yes or No) __________
Explain:
Function (Yes or No) __________
Explain:
(b)
(c)
(d)
3
1
1
2
Function (Yes or No) __________
Explain:
Unit 3 End-of-Unit Test
0
1
2
5
Function (Yes or No) __________
Explain:
CT Algebra I Model Curriculum Version 3.0
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Suppose we find the temperature and humidity of every day last summer. We measure temperature
in both Fahrenheit and Celsius.
(e) Is humidity a function temperature? (HINT: DEPENDS ON)
Function (Yes or No) _______
Explain:
(f) Is temperature measured in Celsius a function of temperature measured in Fahrenheit?
Function (Yes or No) ______
Explain:
2. The table below shows the average precipitation for Hartford , Connecticut by month.
Table 1
Average Precipitation for
Hartford, Connecticut
Month
Inches
1
3.66
2
2.65
3
3.61
4
3.82
5
3.99
6
3.83
7
3.93
8
3.83
9
3.83
10
3.91
11
3.79
12
3.44
(a) What is the independent variable?
(b) What is the dependent variable?
(c) What is the domain?
(d) What is the range?
Unit 3 End-of-Unit Test
CT Algebra I Model Curriculum Version 3.0
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(e) Graph your data.
3.
When you know the Celsius temperature (x) you can find the Fahrenheit temperature using the rule
𝑓(𝑥) = 1.8𝑥 + 32. Find 𝑓(15).
4. You start a dog walking business. You charge $10 plus $5 an hour or any fraction of an hour. Let x
represent the number of hours that you walk the dog. The total cost, f(x), can be represent by the
function (𝑥) = 10 + 5𝑥 .
(a) Complete the table below to determine how much you will charge customers
Cost of Dog Walking
Number of Hours
Cost
.25
.5
.75
1
1.25
Unit 3 End-of-Unit Test
CT Algebra I Model Curriculum Version 3.0
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(b) Find 𝑓(1.5).
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(c) If you were paid $30, how many hours did you walk?
(d) You want to view the equation on your graphing calculator but you do not remember how to set
the Window. Fill in the Window values that would allow you to view the graph of the equation.
Xmin __________
Ymin ________
Xmax __________
Ymax ________
Xscale _________
Yscale ________
Copy the graph from the calculator to the graph paper below. Label and scale the axes.
5. Karen visited the Connecticut Free Fall Club to try sky diving. The actual dive that Karen performed
is pictured in the graph below. Karen’s altitude is a function of time. The graph shows her altitude as
she flying in the plane, free falling from the sky, opening her parachute and descending slowly to the
ground. Free falling is when a person is falling from the sky towards the ground where only gravity is
affecting their motion.
Unit 3 End-of-Unit Test
CT Algebra I Model Curriculum Version 3.0
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Karen’s Parasailing Experience
(a) State the domain for this function.
(b) State the range for this function.
(c) What is the value of 𝑓(40)?
(d) Based on the context of the problem, what happens when t = 7 seconds?
(e) Find t when 𝑓(𝑡) = 40 meters.
(f) Find t when 𝑓(𝑡) = 0 meters?
Unit 3 End-of-Unit Test
CT Algebra I Model Curriculum Version 3.0