(d) Give the local maximum and minimum values of f(x). Enter your answers in increasing order of the x-value. If there are less than two local extrema, enter NA in the remaining response areas and the corresponding drop-down menu. Include a multiplication sign between symbols. For example, a . π. f( (x) f( (x) & G) = (0, 0) (-512, 256) is a local mini... is a local maxi...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.6: Higher-degree Polynomials And Rational Functions
Problem 14E
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May I get some help with part d? Thank you!

Remaining "How Did I Do?" Uses: 1/3
2
= x + 12x3
Consider the function f (x)
(a) Find the domain of f(x).
Note: Use the letter U for union. To enter ∞, type infinity with a lower case i.
Domain: (-infinity, infinity)
(b) Give the horizontal and vertical asymptotes of f (x), if any.
Enter the equations for the asymptotes. If there is no horizontal or vertical asymptote, enter NA in the associated response area.
horizontal asymptote:
vertical asymptote:
(c) Give the intervals of increase and decrease of f(x).
increasing:
Note: Use the letter U for union. To enter ∞, type infinity with a lower case i.
If the function is never increasing or decreasing, enter NA in the associated response area.
decreasing:
ΝΑ
ΝΑ
(-512, 0)
f( (x)
(-infinity, -512) U (0, infin
(d) Give the local maximum and minimum values of f (x).
f( (x)
Enter your answers in increasing order of the x-value. If there are less than two local extrema, enter NA in the remaining response areas and the
corresponding drop-down menu.
Include a multiplication sign between symbols. For example, a . π.
(0, 0)
(-512, 256)
A₂
is a local mini...
is a local maxi...
Transcribed Image Text:Remaining "How Did I Do?" Uses: 1/3 2 = x + 12x3 Consider the function f (x) (a) Find the domain of f(x). Note: Use the letter U for union. To enter ∞, type infinity with a lower case i. Domain: (-infinity, infinity) (b) Give the horizontal and vertical asymptotes of f (x), if any. Enter the equations for the asymptotes. If there is no horizontal or vertical asymptote, enter NA in the associated response area. horizontal asymptote: vertical asymptote: (c) Give the intervals of increase and decrease of f(x). increasing: Note: Use the letter U for union. To enter ∞, type infinity with a lower case i. If the function is never increasing or decreasing, enter NA in the associated response area. decreasing: ΝΑ ΝΑ (-512, 0) f( (x) (-infinity, -512) U (0, infin (d) Give the local maximum and minimum values of f (x). f( (x) Enter your answers in increasing order of the x-value. If there are less than two local extrema, enter NA in the remaining response areas and the corresponding drop-down menu. Include a multiplication sign between symbols. For example, a . π. (0, 0) (-512, 256) A₂ is a local mini... is a local maxi...
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