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Lesson 10 - Unit 4 - Algebra 1 - Illustrative Mathematics

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1.

The cost for an upcoming field trip is $30 per student. The cost of the field trip C, in dollars, is a function of the number of students x.

Select all the possible outputs for the function defined by C(x)=30x.

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2.

A rectangle has an area of 24 cm2. Function f gives the length of the rectangle, in centimeters, when the width is w cm.

3, 0.5, 48, -6, 0

Determine if each value, in centimeters, is a possible input of the function.

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3.

Select all the possible input-output pairs for the function y=x^{3}.

1
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5.
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6.

Two functions are defined by the equations f(x)=5-0.2x and g(x)=0.2(x+5) .  Select all statements that are true about the functions.

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7.

The graph of function f passes through the coordinate points (0,3) and (4,6) .

Use function notation to write the information each point gives us about function .

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8.

Match each feature of the graph with the corresponding coordinate point.

If the feature does not exist, choose “none”.

Draggable itemarrow_right_altCorresponding Item

Horizontal intercept

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(4,16)

Vertical intercept

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(1.5,2)

maximum

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(0,7)

minimum

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none

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9.

The graphs show the audience, in millions, of two TV shows as a function of the episode number.

For each show, pick two episode numbers between which the function has a negative average rate of change, if possible. Estimate the average rate of change, or explain why it is not possible.

This lesson is from Illustrative Mathematics. Algebra 1, Unit 4, Lesson 10. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/1/4/10/index.html ; accessed 26/July/2021.

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