### Home > PC3 > Chapter 4 > Lesson 4.1.1 > Problem 4-6

Sketch a graph . State the degree of the polynomial and the end behavior of the function.

Identify the degree of the polynomial. If you expanded the polynomial, what would the highest power of be?

Identify the -intercepts. These occur at the

*-values that make the factors equal to*

Does the curve bounce or cross at each of the -intercepts?

Recall that the negative sign in the front creates a vertical reflection.

Do not use a calculator! Sketch a prediction of what you think the curve looks like.

Then, use a graphing calculator to check your prediction. Correct any errors you might have made.

Remember that making mistakes and identifying and correcting them is how you build brain cells.

As the -values increase, the

*-values ______.*

As the

*-values decrease, the*

*-values ______.*