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9-12 Algebra 1 Unit 5 Lesson 2

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K-5 Math 6-8 Math •9-12 Math

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•Algebra 1 Geometry Algebra 2 Extra Support Materials for Algebra 1

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Unit 1 Unit 2 Unit 3 Unit 4 •Unit 5 Unit 6 Unit 7 Unit 8

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Lesson 1 •Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 Lesson 17 Lesson 18

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Unit 1
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Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
Unit 8

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Lesson 4
Lesson 5
Lesson 6
Lesson 7
Lesson 8
Lesson 9
Lesson 10
Lesson 11
Lesson 12
Lesson 13
Lesson 14
Lesson 15
Lesson 16
Lesson 17
Lesson 18

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Unit 5, Lesson 2

Function Notation

Algebra 1

Practice

Problem 1

Student Task Statement

The height of water in a bathtub, , is a function of time, . Let represent this function. Height is measured in inches and time in minutes.

Match each statement in function notation with a description.

After 20 minutes, the bathtub is empty.
The bathtub starts out with no water.
After 10 minutes, the height of the water is 4 inches.
The height of the water is 10 inches after 4 minutes.

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Problem 2

Student Task Statement

Function takes time for its input and gives a particular student’s Monday class for its output.

Use function notation to represent “The student has English at 10:00.”
Write a statement to describe the meaning of .

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Problem 3

Student Task Statement

Function gives the distance of a dog from a post, in feet, as a function of time, in seconds, since its owner left.

Find the value of and of .

<p>Nonlinear function. time in seconds and distance from post in feet.<br>
</p>

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Problem 4

Student Task Statement

Function gives the cost, in dollars, of buying apples. What does each expression or equation represent in this situation?

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Problem 5

ForLesson 1: Describing and Graphing Situations

Student Task Statement

A number of identical cups are stacked up. The number of cups in a stack and the height of the stack in centimeters are related.

Can we say that the height of the stack is a function of the number of cups in the stack? Explain your reasoning.
Can we say that the number of cups in a stack is a function of the height of the stack? Explain your reasoning.

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Problem 6

ForLesson 1: Describing and Graphing Situations

Student Task Statement

The number of cups in a stack is a function of the height of the stack in centimeters.

Sketch a possible graph of the function on the coordinate plane. Be sure to label the axes.
Identify one point on the graph, and explain the meaning of the point in the situation.

<p>Blank grid with axes. Origin O.</p>

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Problem 7

ForLesson 16: Solving Systems by Elimination (Part 3)

Student Task Statement

Solve each system of equations without graphing. Explain or show your reasoning.

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Lesson 2 Resources

Student Materials Student Materials in Spanish