Exploring Linear and Nonlinear Functions

Exploring Linear and Nonlinear Functions

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Practice Problem

Hard

CCSS
HSF-LE.A.1B, 8.F.B.4, HSF.IF.B.6

Standards-aligned

Created by

Aiden Montgomery

FREE Resource

Standards-aligned

CCSS.HSF-LE.A.1B
,
CCSS.8.F.B.4
,
CCSS.HSF.IF.B.6
This video tutorial covers the concepts of linear and nonlinear functions, explaining how to identify them based on their rate of change. It provides practical examples, such as ticket sales and square measurements, to illustrate these concepts. The tutorial also includes a section on graphing functions to visually determine their linearity.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a key characteristic of a linear function?

Its graph is a curve.

It has a variable rate of change.

Its graph is a straight line.

It has no rate of change.

Tags

CCSS.HSF-LE.A.1B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you determine if a function is linear?

By checking if the rate of change is constant.

By checking if the function has no rate of change.

By checking if the rate of change is variable.

By checking if the function has multiple rates of change.

Tags

CCSS.HSF-LE.A.1B

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the change in y-values is -5 and the change in x-values is 2, what is the rate of change?

-2.5

-7.5

2.5

-5

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is the function with y-values changing by +15, +33, and +50 considered nonlinear?

Because the function has no rate of change.

Because the rate of change is not constant.

Because the y-values are not constant.

Because the x-values are not constant.

Tags

CCSS.HSF-LE.A.1B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the rate of change for a function where y-values change by -4 and x-values change by +5?

-0.8

0.8

-4

5

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of a tiger cub's calorie intake, why is the function considered nonlinear?

Because the rate of change in calorie intake is not constant.

Because the age in weeks is not constant.

Because the calorie intake is not constant.

Because the function has no rate of change.

Tags

CCSS.HSF-LE.A.1B

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If ticket sales for a school dance cost $5 per student, is this a linear function?

No, because the ticket sales are constant.

Yes, because the ticket sales are not constant.

No, because the rate of change is variable.

Yes, because the rate of change is constant.

Tags

CCSS.HSF-LE.A.1B

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