Solve, a. Find the slant asymptote of the graph of the rational function f(x) =(x3 - 1)/(x2 - 9). b. Follow the seven-step strategy and use the slant asymptote to graph the rational function.
Solve, a. Find the slant asymptote of the graph of the rational function f(x) =(x3 - 1)/(x2 - 9). b. Follow the seven-step strategy and use the slant asymptote to graph the rational function.
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
Solve, a. Find the slant asymptote of the graph of the rational function f(x) =
(x3 - 1)/(x2 - 9).
b. Follow the seven-step strategy and use the slant asymptote to graph the rational function.
Expert Solution
Step 1
Consider the provided rational function,
Find the slant asymptote of the graph of the rational function.
Step 2
First we check the our function has slant asymptote.
So, we can check by given rational function.
If the numerator has a power that is larger than that of the denominator then the function has slant asymptote.
Step 3
Then we apply the long division method.
And we do not need to finish the long division problem to find the remainder.
We only need the terms the equation of the line.
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