Using End Behavior and Zeros to Graph

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Taught by mrbrianmclogan
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Meets NCTM Standards:
Lesson Summary:

In this lesson, the instructor teaches how to graph a polynomial function by finding the zeros and using the leading coefficient test. The first step is to find the zeros, which are x-intercepts, by setting f and x equal to zero. After factoring, the zeros can be found and plotted on the graph. The instructor also discusses the use of the intermediate value theorem to find additional points between the intercepts. By understanding the leading coefficient test and end behavior, graphing a polynomial function can be done easily and accurately without a calculator.

Lesson Description:

Using end behavior, zeros and the intermediate value theorem to graph a polynomial

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Questions answered by this video:
  • After having identified the zeros of the function what must you do?
  • What is the behaviour of odd functions?
  • How does the graph behave if (i) LC is positive? (ii)LC is negative?