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IM Alg2.2.7 Lesson: Using Factors and Zeros

M and K are both polynomial functions of x where

and . How are the two functions alike? 

How are they different?

If a graphing window of  and  shows all intercepts of a graph of , what graphing window would show all intercepts of ?

Mai graphs the function given by

and sees this graph. She says, “This graph looks like a parabola, so it must be a quadratic.” Is Mai correct? Use graphing technology to check.

Explain how you could select a viewing window before graphing an expression like  that would show the main features of a graph.

Using your explanation, what viewing window would you choose for graphing ?

Select some different windows for graphing the function . What is challenging about graphing this function?

Check your equation using graphing technology.

Write a possible equation for a polynomial whose graph has the following horizontal intercepts.

and

, and

, and

, and