Warm Up: Are the following linear functions? Explain.

3.2 Linear Functions

Describe the difference between a linear and a nonlinear function.

LINEAR

Constant slope(rate of change)

NON LINEAR

Does not have a constant slope

Identifying a linear function from a table:

Does the table represent a linear or nonlinear function? Explain.

Identifying a linear function from a table:

Does the table represent a linear or nonlinear function? Explain.

What do Linear Functions Look Like?

y=mx+b

(where m is slope and b is the y-intercept)

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Examples:

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Rewrite the equation so it is in y=mx+b form

Identify if the following equations are linear or nonlinear (do they look like y=mx+b?):

1. y=8-2x B. y=6(x-1) C. y=2^x

Circle which are Linear Functions:

^{A. y=x-9 B.}

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^{C. D.}

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Circle which are Linear Functions:

A. B.

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C. D. y=-3x+7x+3

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Debrief: Is the following graph a linear function?

Explain!

Domain:

Range: