Even and Odd Multiplicity
Investigation
In your graphing calculator, let ._ Press ZOOM 6 and look at the graph in the standard viewing window.
1._ Name the zeros of the function.
2._ What happens to the graph at each of these zeros?_ Does the graph cross or touch the x-axis?_
3._ Repeat #1 and #2 with ,
4._ Repeat #1 and #2 with ,
5.__ Repeat #1 and #2 with ,
6._ Repeat #1 and #2 with ,(use viewing window [-5,5] by [-100,100] for this one
7._ Repeat #1 and #2 with
Predict the x-intercepts for the graphs of each of the following._ Do you think the graph will cross or touch at each zero._ Explain._ Then check your conjecture on your graphing calculator.
8._
9._
10._
For each of the following, write a possible function rule for the graph._ Check on your graphing calculator.
11. _____________ _____________ _____________ _____________ _____________ 12._ _____________ _____________ _____________ _____________ _____________ 13._