Distinguishing Linear from Nonlinear Functions

Distinguishing Linear from Nonlinear Functions

Assessment

Interactive Video

Mathematics

6th - 10th Grade

Hard

CCSS
8.F.A.3, 8.F.B.4, HSF.LE.A.2

Standards-aligned

Created by

Ethan Morris

FREE Resource

Standards-aligned

CCSS.8.F.A.3
,
CCSS.8.F.B.4
,
CCSS.HSF.LE.A.2
Jimmy Chang explains how to distinguish between linear and nonlinear functions. Linear functions are characterized by a graph that forms a line and have a degree of 1, such as x to the first power. Nonlinear functions, on the other hand, do not form a line and can include curves, split graphs, and polynomials of higher degrees. Nonlinear functions can also include square roots, fractional exponents, and negative exponents. The video provides tips on identifying these functions based on their properties.

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main difference between linear and nonlinear functions?

Linear functions are always horizontal.

Nonlinear functions are always vertical.

Nonlinear functions form a straight line, while linear functions do not.

Linear functions form a straight line, while nonlinear functions do not.

Tags

CCSS.8.F.A.3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is NOT a characteristic of a linear function?

It has a degree of 1.

It can be represented by a straight line.

It can be upward or downward sloping.

It can be a vertical line.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of graph represents a nonlinear function?

A horizontal line

A curve

A vertical line

A straight line

Tags

CCSS.8.F.A.3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is an example of a nonlinear function?

y = 3x - 1

y = 5x

y = x^2

y = 2x + 3

Tags

CCSS.8.F.A.3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the degree of a linear function?

1

0

2

3

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is NOT a polynomial?

y = x^3

y = x^2

y = x^4

y = sqrt(x)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is an example of a nonlinear function with a negative exponent?

y = x^-1

y = x^2

y = x + 1

y = 2x

Tags

CCSS.8.F.A.3

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a characteristic of nonlinear functions?

They are always horizontal.

They can have exponents other than 1.

They can be represented by a straight line.

They have a degree of 1.

Tags

CCSS.8.F.A.3

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a key tip for distinguishing between linear and nonlinear functions?

Linear functions can have any degree.

Nonlinear functions are always horizontal.

Linear functions have fixed properties.

Nonlinear functions are always straight lines.

Tags

CCSS.8.F.A.3