When a Rational Function has been simplified and graphed, it shows: 3 Vertical Asymptotes, 2 Points of Discontinuity (also known as "holes" in the graph), and all of the intercepts (x and y) are positive. What could the Rational Function have been before it was simplified? Include your rationale for why you feel your answer is reasonable.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question:
When a Rational Function has been simplified
and graphed, it shows: 3 Vertical Asymptotes, 2
Points of Discontinuity (also known as "holes"
in the graph), and all of the intercepts (x and y)
are positive. What could the Rational Function
have been before it was simplified? Include
your rationale for why you feel your answer
is reasonable.
Note: An example of a Rational Function is
(x+2)
f(x) = (x-3)(x+4)(x-7)
Transcribed Image Text:Question: When a Rational Function has been simplified and graphed, it shows: 3 Vertical Asymptotes, 2 Points of Discontinuity (also known as "holes" in the graph), and all of the intercepts (x and y) are positive. What could the Rational Function have been before it was simplified? Include your rationale for why you feel your answer is reasonable. Note: An example of a Rational Function is (x+2) f(x) = (x-3)(x+4)(x-7)
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