Kindergarten
1st
2nd
3rd
4th
5th
6th
7th
8th
9th
10th
11th
12th
Higher Ed
Other
Subjects
ELA
Math
Science
Social Studies
Art
Computer Science
French
German
Music
Physical Education
Spanish
Other
Private Library
Algebra 1 4-6 Formalizing Relations and Functions
starstarstarstarstarstarstarstarstarstar
4.5 (1 rating)
by Matthew Richardson
| 30 Questions
Note from the author:
A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.
The outlined content above was added from outside of Formative.
zoom in
1
10 pts
Solve It! Your friend is playing a board game. He is on the space shown in the diagram. He rolled a 3 to get to that space. On which spaces could he have started before rolling the 3? Select all that apply.
1
2
3
4
5
6
7
8
9
10
2
10 pts
Problem 1 Got It? Identify the domain and range of the relation.
Place each value only once.
• Domain
• Range
3
10 pts
Problem 1 Got It? Represent the relation with a mapping diagram.
4
5 pts
Problem 1 Got It? Is the relation a function?

Yes
No
5
10 pts
Problem 1 Got It? Identify the domain and range of the relation.
Place each value only once.
• Domain
• Range
6
10 pts
Problem 1 Got It? Represent the relation with a mapping diagram.
7
5 pts
Problem 1 Got It? Is the relation a function?

Yes
No
zoom in
8
5 pts
Problem 2 Got It?
A
B
zoom in
9
5 pts
Problem 2 Got It?
A
B
zoom in
10
10 pts
Problem 3 Got It? Use the function in Problem 3, w(x) = 250x. How many words can you read in 6 min? Enter only a number.
zoom in
11
10 pts
Problem 4 Got It?
A
B
C
D
zoom in
12
10 pts
Problem 5 Got It?
A
B
C
D
zoom in
13
5 pts
Problem 5 Got It?
A
B
14
10 pts
Consider the relation {(-2, -3), (-1, 4), (0, 5), (1, 6)}.

Identify the domain of the relation.
{-3, -2, -1, 0, 1, 5, 6}
{-3, 4, 5, 6}
{-2, -1, 0, 1}
15
10 pts
Consider the relation {(-2, -3), (-1, 4), (0, 5), (1, 6)}.

Identify the range of the relation.
{-3, 4, 5, 6}
{-2, -1, 0, 1}
{-3, -2, -1, 0, 1, 5, 6}
16
10 pts
Consider the relation {(-2, -3), (-1, 4), (0, 5), (1, 6)}.

Represent the relation with a mapping diagram. Remember to label the domain and range in your diagram.
zoom in
17
5 pts
Is the relation in the graph a function? Use the vertical line test.
No, it is not a function.
Yes, it is a function.
18
10 pts
What is f(2) for the function f(x) = 4x + 1?
-2
43
9
3
19
10 pts
The domain of f(x), defined below, is {-4, -2, 0, 2, 4}. What is the range?

{-8, -4, 0, 4, 8}
{-2, -1, 1, 2}
{-2, -1, 0, 1, 2}
20
5 pts
Vocabulary: Write y = 2x + 7 using function notation.
f(x) = {y|y is a Real number, y = 2x + 7}
f(x) = 2x + 7
21
20 pts
Compare and Contrast: You can use a mapping diagram or the vertical line test to tell if a relation is a function. Which method do you prefer? Explain.
zoom in
22
10 pts
Error Analysis: A student drew the dashed line on the graph shown and concluded that the graph represented a function. Is the student correct? Explain.
23
10 pts
Review Lesson 4-5: Match each function rule with the situation it models.
• You buy several pairs of socks for \$4.50 per pair, plus a shirt for \$10. The total amount a you spend is a function of the number of pairs of socks you buy.
• You babysit for \$5 per hour and get a \$7 tip. Your earnings E are a function of the number of hours h you work.
zoom in
24
10 pts
Review Lesson 4-1: The graph shows a family's distance from home as they drive to the mountains for a vacation. Label the variables in the graph.
• Number of trips
• Time
• Elevation
• Number of deer spotted
• Distance from home
25
30 pts
Review Lesson 4-1: Describe how the variables are related at the indicated points on the graph.
26
10 pts
Review Lesson 1-2: Evaluate the expression for x = 1, 2, 3, and 4.
• Expression = 18
• Expression = 12
• Expression = 9
• Expression = 15
27
10 pts
Review Lesson 1-2: Evaluate the expression for x = 1, 2, 3, and 4. Only use each x-value once.
• Expression = 7
• Expression = 15
• Expression = 29
• Expression = 25
• Expression = 8
28
10 pts
Vocabulary Review: Use the words in the left column to label the function machine in the image above. Use each word once.
• Region A
• Region B
• Region C