Graphing Polynomials - Cool math Algebra Help Lessons - Basic Shapes

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Coolmath Algebra
Graphing Polynomials Lesson 3 - Basic Shape - Odd Degree (Intro to Zeros) (page 1 of 3)
---- This algebra lesson explains the basic shapes of the graphs of odd degree polynomials and gives an introduction to zeros.

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Our easiest odd degree guy is the disco graph. We really do need to give him a more mathematical name... Standard Cubic Guy!

f ( x ) = x^3

graph of f ( x ) = x^3

Notice that these tails point in the opposite direction (unlike the even degree guys).

Eh... it's boring without those wobbles...

Check this guy out on the graphing calculator:

f ( x ) = x^3 - 4x

You should get:

The tails do the same thing as Standard Cubic Guy...

But, this guy crosses the x-axis
3 times... and the degree is?

graph of f ( x ) = x^3 - 4x

Can this guy ever cross 4 times? Nope! Not unless you bend one of his tails... But, then he'd be an guy!

Continued on the next page

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