I can identify the end behavior of a polynomial using its degree and leading coefficient.

This could be written in different ways:

"Rises left, rises right" or "Falls left, rises right," etc.

Mathematically:

"As x --> -∞, f(x) --> ∞" or "As x --> ∞, f(x) --> -∞"

You need to understand both notations.

So, what are the rules about polynomial end behavior?

Let's put this in our commonplace journals for reference.

Let's play on Desmos!

When it's your turn:

Write a function (secretly) on the graphing calculator

Show the graph (but not the function) to everyone else

See if they can figure out whether the degree is even or odd and whether the leading coefficient is positive or negative.

Complete these problems

Challenge Work