Cubic Functionsf(x) = x³

Unit 1 Lesson 5

What is a cubic function?

Working with your pairs partner, complete the graph of f(x) = x³.

Answer the questions in the boxes and be prepared to share.

Share…

What happens when f(x) = x³ + b?

With your pairs partner, complete the Families of Cubic Functions Handout for f(x) = x³ + b.

Be prepared to share your findings.Share and discuss…

What happens when f(x) = ax³?

Complete the Families of Cubic functions handout for f(x) = ax³.

Yes…be prepared to share!!!

What is “end behavior”?

The end behavior of a function’s graph is the behavior of the graph as x approaches positive infinity (+∞) or negative infinity

(-∞).If the degree of the function is ODD and

the leading coefficient is positive:

f(x) → -∞ as x → -∞ and

f(x) → +∞ as x → +∞

Cubic Functions Extension

Practice cubic functions fun with the extension worksheet!

Homework

Snow Globes Task

Think, Pair, Share

Think of today’s lessonWith a partner, share what you know.

Have your partner do the same.