End Behavior
October 13, 2015
Date: Block A 10/13
Objective: I can graph polynomial functions and predict their end behavior.
You should be
writing this in your notebook.
Entry: Describe how to transform the graph of an appropriate monomial function f(x) = xn into the graph of the given polynomial function.
Sketch the transformed graph by hand and support your answer with a grapher. Compute the location of the y­intercept as a check on the transformed graph.
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End Behavior
October 13, 2015
Ex. 1 Graph the polynomial function and explain how it is related to the monomials from which it is built.
(a) graph
(b) graph
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End Behavior
October 13, 2015
Polynomials of Higher Degree
Typical Graphs of Cubics and Quartics
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October 13, 2015
The leading term dominates the behavior of the polynomial.
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End Behavior
October 13, 2015
There are four possible end behavior patterns for a polynomial function. The power and coefficient of the leading term tell us which one of the four patterns occurs.
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End Behavior
October 13, 2015
Ex. 2 Graph (Sketch) the polynomial in a window showing its extrema and zeros and its end behavior. Describe the end behavior using limits. (c)
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October 13, 2015
p.193:1,3,5,7­12,17­23 odd,27­32 (careful on 27&28)
Sketch each with y­intercept except 9­12,29­32
9­12 you don't need to explain and 29­32 you don't need to approximate the zeros
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October 13, 2015
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End Behavior
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