f(x)=(3x3-x2-27x+9)/(x2+4x+3)

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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f(x)=(3x3-x2-27x+9)/(x2+4x+3)

 

Exercise (d)
Plot additional solution points as needed to sketch the graph of the rational function.
Step 1
To graph the function you begin by plotting the intercepts and sketching the vertical and slant asymptotes.
Use the table of values below to determine points on the graph. First, enter the missing values for the
intercepts. Then, use f to determine the remaining y-values. Notice the selection of x-values on each side of
the intercepts and vertical asymptote.
3
-5
-4
3
2
y
Ex
Transcribed Image Text:Exercise (d) Plot additional solution points as needed to sketch the graph of the rational function. Step 1 To graph the function you begin by plotting the intercepts and sketching the vertical and slant asymptotes. Use the table of values below to determine points on the graph. First, enter the missing values for the intercepts. Then, use f to determine the remaining y-values. Notice the selection of x-values on each side of the intercepts and vertical asymptote. 3 -5 -4 3 2 y Ex
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