Linear VS Nonlinear

Presentation

•

Mathematics

•

6th - 12th Grade

•

Practice Problem

•

Easy

•

CCSS

8.F.A.3, 6.NS.B.3, HSF-LE.A.1B

Standards-aligned

Samantha Reves

Used 15+ times

FREE Resource

7 Slides • 20 Questions

Linear and Non-Linear Functions

Linear Functions...

are straight lines on a graph

Non-Linear Functions...

have curves or

two or more different slopes

Linear Functions...

have a constant rate of change

Non-Linear Functions...

do not have a constant rate of change

Linear Functions...

are represented by equations that have:

* no exponents

* no absolute value signs

* fractions with variables only in the numerator

Nonlinear Functions...

are represented by equations that have:

* exponents

* absolute value signs

* fractions with variables in the denominator

Multiple Choice

Linear or Nonlinear?

Linear

Non-Linear

Multiple Choice

Linear or Nonlinear?

Linear

Non-Linear

Multiple Choice

Does the graph represent a linear or nonlinear relationship?

Linear

Nonlinear

Multiple Choice

Choose the Linear Function

Multiple Choice

Which of the function(s) above are linear?

Function I, only

Function II, only

Function I and Function II, only

Function I, Function II, and Function III

Multiple Choice

Is this function linear or nonlinear?

Linear

Nonlinear

Multiple Choice

Why is this function linear?

This is a linear function because it does not have a constant rate of change

This is a linear function because it creates a curved line.

This is a linear function because it have a constant rate of change.

This is a linear function because it's y-intercept is (0,2)

Multiple Choice

Which answer choice is true?

The table represents a linear function because there is a pattern for the x-coordinates and y-coordinates.

The table represents a linear function because the ratio of the change in the y value and the change in the x value is constant.

The table represents a nonlinear function because the ratio of the change in the y value and the change in the x value is not constant.

The table does not represent a function because there is more than one output for at least one input.

Multiple Choice

Is this function linear or nonlinear?

Linear

Nonlinear

Multiple Choice

Is the function represented by the table linear or nonlinear?

Linear

Nonlinear

Multiple Choice

Is the function represented by the table linear or nonlinear?

Linear

Nonlinear

Multiple Choice

Select the linear equation.

Multiple Choice

Is the function $y=\frac{8}{x^2}$ linear or nonlinear?

Linear

Nonlinear

Multiple Choice

Is the function Linear or Nonlinear?

Linear

Nonlinear

Multiple Select

Which equations describe a nonlinear function? Select all that apply.

x - 3y=12

y=x³

3y=x

y=5x²+6x

4x+3y²=24

Multiple Choice

Is this function linear or nonlinear?

Linear function

Nonlinear function

Multiple Choice

Is the following equation linear or nonlinear?

Linear

Nonlinear

Multiple Choice

Is the following equation linear or nonlinear?

Linear

Nonlinear

Multiple Choice

Which equation represents a nonlinear function?

y = 3x + 5

y = 5x³

y + 3 = 5x

3x - y = 5

Multiple Choice

Is the function linear or nonlinear?

y = 6x + 4

Linear

Nonlinear

Linear and Non-Linear Functions

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