Consider the function f(x) = (a) Find the domain of f(x). Note: Use the letter U for union. To enter ∞o, type infinity. Domain: (-infinity,-2)U(-2,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: x+2 y=1 (d) Give local X=-2 (c) Give the intervals of increase and decrease of f(x). increasing: (-infinity,-2) decreasing: (-2,infinity) f( Note: Use the letter U for union. To enter oo, type infinity. If the function is never increasing or decreasing, enter NA in the associated response area. f( 团团 & P 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. and minimum values of f(x). Include a multiplication sign between symbols. For example, a .. )= )= & P Click for List - Click for List

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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Consider the function f(x):
(a) Find the domain of f(x).
Note: Use the letter U for union. To enter oo, type infinity.
Domain: (-infinity,-2)U(-2,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:
y=1
(c) Give the intervals of increase and decrease of f(x).
increasing: (-infinity,-2)
decreasing: (-2,infinity)
f(
X=-2
Note: Use the letter U for union. To enter oo, type infinity.
If the function is never increasing or decreasing, enter NA in the associated response area.
f(
x-3
x+2
(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.
concave
upward:
concave
downward:
& P
& P
(e) Give the intervals of concavity of f(x).
(-infinity,-2)
(-2,infinity)
II
II
Note: Use the letter U for union. To enter oo, type infinity.
If the function is never concave upward or concave downward, enter NA in the associated response
area.
Click for List
& P
Click for List -
Transcribed Image Text:Consider the function f(x): (a) Find the domain of f(x). Note: Use the letter U for union. To enter oo, type infinity. Domain: (-infinity,-2)U(-2,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: y=1 (c) Give the intervals of increase and decrease of f(x). increasing: (-infinity,-2) decreasing: (-2,infinity) f( X=-2 Note: Use the letter U for union. To enter oo, type infinity. If the function is never increasing or decreasing, enter NA in the associated response area. f( x-3 x+2 (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. concave upward: concave downward: & P & P (e) Give the intervals of concavity of f(x). (-infinity,-2) (-2,infinity) II II Note: Use the letter U for union. To enter oo, type infinity. If the function is never concave upward or concave downward, enter NA in the associated response area. Click for List & P Click for List -
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I appreciate your assistance but the questions you answered were already completed. I need help with (d) & (f) 

d- Local maximum and min values of f(x)

 

f- Inflection points of f(x) 

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