Linear vs. NonLinear and Is it a Function

Linear vs. Non Linear and Is it a Function

What does it mean to be linear?

• If the points create a straight line then the graph is linear

• if the points create a constant rate of change it is linear

Do the points lie on a straight line?

Two ways you can determine....

• graph the points on graph paper and see if there is a

• see if there is a constant rate of change

Let's graph!

Are the three points on the same line

• (0,0) (8, 0) (4, 8)

Are the three points on the same line?

• (0,2) (2,6) (3, 8)

Multiple Choice

Is this function linear or nonlinear?

• linear function

• nonlinear function

Multiple Choice

Is this function linear or nonlinear?

• linear function

• nonlinear function

You can also determine if points are linear by determining if there is a constant rate of change

• We are looking at the ratio of change y over change in x

Multiple Choice

Is this function linear or nonlinear?

• linear function

• nonlinear function

Multiple Choice

Is this function linear or nonlinear?

• linear function

• nonlinear function

You can determine which method you want to use to answer the question

• by graphing it

• by looking at the rate of change

Multiple Choice

EOG Question

You may graph it OR use the rate of change

• A

• B

• C

• D

Multiple Choice

EOG Question

You may graph it or determine if the rate is constant

• A

• B

• C

• D

How can you tell it is linear by looking at an equation....

To be linear

• x can not be on the bottom

• x can not have an exponent

• x and y can not be together(xy)

• only two variables

Multiple Choice

Is this function linear or nonlinear?

• Linear function

• Nonlinear function

Multiple Choice

Is this function linear or nonlinear?

• Linear function

• Nonlinear function

Multiple Select

Which equations represent nonlinear functions? Select all that apply.

• y= 3x-4

• y=9x²+7x

• y=x

• y=2x³

• y=2x²+4

Multiple Choice

EOG Question

• A

• B

• C

• D

Is it a function?

• for every x there is only one y

• Remember, the coke machine examples

• If the points are not in a table then put them in one if you need to

Multiple Choice

EOG Question

• A

• B

• C

• D

Multiple Choice

EOG Question

• A

• B

• C

• D