Describe Nonlinear Functions

Describe & Sketch Nonlinear Functions

Nonlinear means that a function does not have a constant rate and when graphed it does NOT look like a straight line

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​What is nonlinear?

Categorize

Options (8)

Place each function in the linear or nonlinear category

Linear

Nonlinear

Multiple Choice

Which of the follow will NOT be a linear function?

• y=2x + 5

• 3x + 5y = 3

• y = -7x

• y = x² - 4

Think of it like you're telling a story! The following slides show clips of "stories" and a graph that would represent it. Pay attention when things go up, down, stop, and how fast.

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Now let's practice sketching a function

Open Ended

How can you tell one line is faster than the other when looking at a graph?

Draw

Sketch the scenario: Miley begins taking her test. She's pacing herself at a constant rate, then zones out for a few minutes... then focuses and rushes the last few questions. Let x represent minutes and y represent questions answered.

Draw

Sketch the scenario: Represent someone's heart rate throughout watching a horror movie. Let x represent time and y represent their heart rate.

Hotspot

PING when the green runner started to take a break

Multiple Choice

If the red runner's line started moving down at 13 seconds... what does this imply?

• He's running slower

• He began running backwards to the beginning

• He runs faster

• He's closer to the finish line

You have to look at the labels!! What is the X-axis about? What is the Y-axis about?

Remember to pay attention!

Poll

How do you feel so far about sketching a nonlinear description?

• It's easy!

• I get it, but need more practice

• It's a little confusing

• This is so difficult!