**I know, you've worked with polynomials before, but we need to make sure that you really understand how their shapes work. I definitely take an artist's approach to these critters!**

**Understanding shapes and graphs will actually help you to know what some answers in Calculus will be before you crunch them!**

**I like to call the graphs of polynomials "roller coaster graphs."**

** **

Let's review even degree polynomials first. Remember that these | |||

would be polynomials whose leading term is | , | , |

etc. |

**Starting us off is Standard Parabola Guy. Let's really pay close attention to his basic shape. (I'm just going to draw rough sketches here.)**

The tails both shoot up...We've got one valley. |

This guy touches the x-axis once... It doesn't cross,it just touches (a kiss). | ||

| ) |