a) Sketch a possible graph of a rational function which satisfies the following conditions: A minimum of two local extrema; one of which is located at x = -3 • A minimum of one horizontal asymptote. A minimum of one vertical asymptote A y-intercept. In point form, state your reasoning/justification for the creation of your graph. Based on your graph state/create the following: Identify the local maximums/minimums and/or absolute maximum/minimum, if they exist. • Identify the point(s) of inflection, if they exist Create the interval chart that matches your graph

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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***You MUST provide FULL solutions including CLEAR & CONCISE explanations
1) a) Sketch a possible graph of a rational function which satisfies the following conditions:
A minimum of two local extrema; one of which is located at x = -3
A minimum of one horizontal asymptote.
A minimum of one vertical asymptote
A y-intercept.
In point form, state your reasoning/justification for the creation of your graph.
b) Based on your graph state/create the following:
• Identify the local maximums/minimums and/or absolute maximum/minimum, if they exist.
Identify the point(s) of inflection, if they exist
Create the interval chart that matches your graph
Transcribed Image Text:***You MUST provide FULL solutions including CLEAR & CONCISE explanations 1) a) Sketch a possible graph of a rational function which satisfies the following conditions: A minimum of two local extrema; one of which is located at x = -3 A minimum of one horizontal asymptote. A minimum of one vertical asymptote A y-intercept. In point form, state your reasoning/justification for the creation of your graph. b) Based on your graph state/create the following: • Identify the local maximums/minimums and/or absolute maximum/minimum, if they exist. Identify the point(s) of inflection, if they exist Create the interval chart that matches your graph
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