1. Analyzing the graph of a Polynomial Function requires to follow the steps (i)-(iv) stated below: i) Determine the end behavior. ii) Find the x and y-intercepts iii) Determine the zeros of the function and their multiplicity. Use this information to determine whether the graph crosses or touches the x-axis at each x-intercept. iv) Determine the maximum number of turning points on the graph. v) Use the information in steps (i) – (iv) to draw a complete graph of the following functions. a) f(x)=x* - 2x² +8x-16 b) g(x) = x°(x- 2)(x² +3)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.4: Complex And Rational Zeros Of Polynomials
Problem 18E
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1. Analyzing the graph of a Polynomial Function requires to follow
the steps (i)-(iv) stated below:
i) Determine the end behavior.
ii) Find the x and y-intercepts
iii) Determine the zeros of the function and their multiplicity. Use
this information to determine whether the graph crosses or
touches the x-axis at each x-intercept.
iv) Determine the maximum number of turning points on the
graph.
v) Use the information in steps (i) – (iv) to draw a complete graph
of the following functions.
a) f(x)=x* – 2.x' +8x – 16
b) g(x) =x²(x-2)(x² + 3)
Transcribed Image Text:1. Analyzing the graph of a Polynomial Function requires to follow the steps (i)-(iv) stated below: i) Determine the end behavior. ii) Find the x and y-intercepts iii) Determine the zeros of the function and their multiplicity. Use this information to determine whether the graph crosses or touches the x-axis at each x-intercept. iv) Determine the maximum number of turning points on the graph. v) Use the information in steps (i) – (iv) to draw a complete graph of the following functions. a) f(x)=x* – 2.x' +8x – 16 b) g(x) =x²(x-2)(x² + 3)
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