The purpose of this question is to do the preliminary work to make a well-labeled sketch of the graph of the function 6x2 + 6x + 6 f(x) x2 + x - 12 First, find the critical values (there should be three): Two of the critical values should be associated with asymptotes of this function. The remaining critical value should be a local maximum. What is the local maximum for this graph: I = y = In addition to the vertical asymptotes, there is another asymptote. Give the equation for this asymptote: Hint: What is lim エ→ま f(z)? Finally, give the range for the function f. range =

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
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The purpose of this question is to do the preliminary work to make a well-labeled sketch of the graph of
the function
6x2 + 6x + 6
f(x)
x2 + x – 12
First, find the critical values (there should be three):
Two of the critical values should be associated with asymptotes of this function. The remaining critical
value should be a local maximum. What is the local maximum for this graph:
y =
In addition to the vertical asymptotes, there is another asymptote.
Give the equation for this asymptote:
Hint: What is lim
f(z)?
Finally, give the range for the function f.
range =
Transcribed Image Text:The purpose of this question is to do the preliminary work to make a well-labeled sketch of the graph of the function 6x2 + 6x + 6 f(x) x2 + x – 12 First, find the critical values (there should be three): Two of the critical values should be associated with asymptotes of this function. The remaining critical value should be a local maximum. What is the local maximum for this graph: y = In addition to the vertical asymptotes, there is another asymptote. Give the equation for this asymptote: Hint: What is lim f(z)? Finally, give the range for the function f. range =
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