Comparing Linear vs Nonlinear Functions

Presentation

•

Mathematics

•

8th Grade

•

Hard

Joseph Anderson

FREE Resource

8 Slides • 12 Questions

Compare Linear and Nonlinear Functions

It is very important for this lesson that you remember how to find the slope and the y intercept.

Let's Review

functions are equations where any input value (often x) has only 1 output value (often y)
You can represent a function as a graph, table or an equation
If you have a graph you can use the vertical line test to check if it is a function

is there something you would like to go over before we continue?

Comparing Constant Rate of Change

you can compare two linear functions by comparing their constant rate of change (their slope)

The picture is an example from your book.

Linear and Non linear Functions

a non linear function (like the function for the area of an object) does not have a constant rate of change
a linear function will have a constant rate of change
for these questions you will be asked if the function is linear or not.

Initial value

The other factor you can be asked to look at in the problems is the initial value. Because the initial value is going to be where the input is 0, it will be the y intercept on a graph or in an equation.

Let's try some examples

Multiple Choice

Find the rate of change

Not a constant slope/Non-Linear

Multiple Choice

Which company shows a greater rate of change?

Water's Edge Rafts

Ryan's Rafts

Multiple Choice

The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Which service is cheaper for 8 movies in one month?

Beth's service ($38 vs. $40) is cheaper

Nate’s service ($42 vs. $44) is cheaper

Nate’s service ($38 vs. $40) is cheaper

Beth's service ($42 vs. $44) is cheaper

Multiple Choice

Is the relation a function? Why.

Yes, because the x-value 11 has two y-values pair with it.

Yes, because each x-value has only one y-value paired with it.

No, because the x-value 11 has two y-values pair with it.

No, because each x-value has only one y-value paired with it.

Multiple Choice

Which of the following is not a function?

Multiple Choice

Is the equation linear or nonlinear?

Linear

Nonlinear

Multiple Choice

Is the graph pictured a linear or nonlinear function?

Linear

Nonlinear

Multiple Choice

Is this function linear or nonlinear?

Linear

Nonlinear

Multiple Choice

Which function has the GREATEST rate of change?

Multiple Choice

What is the rate of change in the equation?
y=8x+6

Multiple Choice

What is the initial value in this equation?
y=8x+6

Poll

How are you feeling about today's lesson

I get it

I need more examples

I'm confused

I don't understand at all

Compare Linear and Nonlinear Functions

Show answer

Auto Play

Slide 1 / 20

SLIDE

Similar Resources on Wayground

13 questions

Exponential Growth and Decay

Presentation

•

8th Grade

15 questions

Vertical & Horizontal Line Equations

Presentation

•

8th Grade

16 questions

Rotations Asynchronous Lesson 8/27/2021

Presentation

•

8th Grade

16 questions

Speed/Time Graphs

Presentation

•

8th Grade

16 questions

Volume of Cylinders, Cones, and Spheres

Presentation

•

8th Grade

14 questions

Finding distances in the coordinate plane...

Presentation

•

8th Grade

16 questions

Exponent Rules - Product Rule and Power of a Power Rule

Presentation

•

8th Grade

13 questions

Slope using similar triangles

Presentation

•

8th Grade

Popular Resources on Wayground

10 questions

HCS SCI 03 Summer School Review 4

Quiz

•

3rd Grade

11 questions

HSMS - Standard Response Protocol

Quiz

•

6th - 8th Grade

16 questions

1.1-1.2 Quiz Review

Quiz

•

9th - 12th Grade

12 questions

Exponent Expressions

Quiz

•

6th Grade

20 questions

Adding and Subtracting Integers

Quiz

•

6th - 7th Grade

11 questions

Northeast States

Quiz

•

3rd - 4th Grade

10 questions

Characterization

Quiz

•

3rd - 7th Grade

10 questions

Common Denominators

Quiz

•

5th Grade

Discover more resources for Mathematics

11 questions

Negative Exponents

Quiz

•

7th - 8th Grade