Algebra 1 | Unit 4: Functions | Check Your Readiness

Decide if the relationship between each pair of input and output can be seen as a function.

input	output	a function?
month of the year	number of days in the month
number of days in a month	month of the year
weight in kilograms	weight in pounds
weight in pounds	weight in kilograms
student's age	student's shoe size
your height in inches	your age

• yes

• no

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8.F.A.1

Explain how you know whether a relationship between two quantities is or is not a function. Choose a pair of input-output from the table as an example, if that would be helpful.

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8.F.A.1

• 3

• 5

• 6

• 11

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8.F.A.1

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8.F.A.1

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8.F.B.5

Find the slope of the line.

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8.F.A.3

The graph shows the temperature between noon and midnight one day in a certain city.

1. What was the temperature at 9 p.m.?
2. When was the temperature increasing?
3. When was the temperature 55 degrees?
4. Is temperature a function of time? Explain your reasoning.
5. Is time a function of temperature? Explain your reasoning.

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8.F.B.5

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8.F.B.4

The graph and the table show the monthly costs for two video-streaming services.

1. For each plan, describe how the cost is related to the amount of data used.
2. Which is the better choice? Explain your reasoning.

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8.F.A.2

8.F.B.5

Mai is going for a walk. She walks at a constant speed for 20 minutes. She takes a break for 5 minutes before turning around and walking back home. She walks faster than she did before.

1. Sketch a graph that represents this scenario.
2. Label two points on the graph and explain what Mai is doing at the corresponding times.

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8.F.B.5