8th Grade Learning Targets Unit 4 Exam 2:
Linear Functions
Name: ____________________________________
Cluster Target #3.1: Identify the relationship between an input and an output that determines a function. (Ordered pairs,
graph, table, verbal descriptions)
1. Are the following diagrams of functions? Why or why not.
a.
2. Create a function.
b.
Summer
Weather
Rainy
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3. Use the table to answer the following questions:
a. Does the table represent a function? Explain how you
x
Y
know.
-2
6
-1
1
0
-12
1
-7
2
-3
4.
X
y
6. Create a table that is NOT a function.
x
Y
Explain why your table is NOT a function.
b. Does the table represent a linear or non-linear
relationship? Explain how you know.
7. Create a table that is a function.
x
Y
-2
-7
-1
-4
0
-1
1
2
2
5
Explain why your table is a function.
a. Does the table represent a function? Explain how you know.
b. Does the table represent a linear or non-linear relationship? Explain
how you know.
8. Create a table that is a LINEAR function.
x
Y
Explain why your table is a LINEAR function.
5.
X
y
-2
1
-1
2
0
3
-1
4
-2
5
a. Does the table represent a function? Explain how you know.
b. Does the table represent a linear or non-linear relationship? Explain
how you know.
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9. State whether or not the following are functions.
Explain how you know.
10. State whether or not the following are
functions.
a.
a.
x=3
b.
b. y = 2x -6
c. y = -2
d. y = 2x2
c.
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d.
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Cluster Target #4.4: Given a function determine the output for a given input and/or determine the input(s) for a given
output.
11. Use the graph below to answer the following questions.
12. Use the graph below to answer the following
questions.
a. What is the output value at the input value of 3?
a. What is the output value at the input value of 0?
b. What input or inputs give the output value of -4?
b. What input or inputs give the output value of 3?
c. Describe another point on the graph above
in terms of input and output.
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13. Complete the function table for y= 2x + 8 using inputs that are
appropriate. Then graph the function.
x
y
2
15. Complete the function table for y= 2x using
inputs that are appropriate. Then graph the
function.
x
14. Complete the function table for y =
appropriate. Then graph the function.
x
y
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¼x
y
using inputs that are
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Cluster Target #4.5: Given a rate of change and an initial value in words, construct a table and a graph.
16. Nyree has 10 Jolly Ranchers. She gives away two each class
period. Complete a function table using inputs that are appropriate.
Then graph the function.
x
Y
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17. Jakhari starts with 25 text messages on his cell
phone. Every day he gets 15 more. Complete a
function table using inputs that are appropriate.
Then graph the function.
x
Y
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