• endbehavior > End Behavior of Polynomials
  • End Behavior of Polynomials

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    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._

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