2 Consider the function f(x) = x+61 3. (a) Find the domain of f(x). Note: Use the letter U for union. To enter oo, type infinity with a lower case i. Domain: (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). Note: Use the letter U for union. To enter oo, type infinity with a lower case i. If the function is never increasing or decreasing, enter NA in the associated response area. increasing: decreasing f( f( (d) Give the local maximum and minimum values of f(x). P Enter your answers i increasing order of the z-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 .. (e) Give the intervals of concavity of f (x). concave upward: & P)= &G)= concave downward: & P KA (f) Give the inflection points of f(x). & P Note: Use the letter U for union. To enter oo, type infinity with a lower case i. If the function is never concave upward or concave downward, enter NA in the associated response area. 皮 & P Include a multiplication sign between symbols. For example, a . *. Click for List Enter your answers in increasing order of the z-coordinate. If there are less than two points of inflection, enter NA in the remaining response areas. Click for List & P BD)

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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Question
2
Consider the function f(x) = x+61 3.
(a) Find the domain of f(x).
Note: Use the letter U for union. To enter oo, type infinity with a lower case i.
Domain:
(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).
Note: Use the letter U for union. To enter oo, type infinity with a lower case i.
If the function is never increasing or decreasing, enter NA in the associated response area.
increasing:
decreasing
f(
f(
(d) Give the local maximum and minimum values of f(x).
P
Enter your answers i increasing order of the z-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 ..
(e) Give the intervals of concavity of f (x).
concave upward:
& P)=
&G)=
concave downward:
& P
KA
(f) Give the inflection points of f(x).
& P
Note: Use the letter U for union. To enter oo, type infinity with a lower case i.
If the function is never concave upward or concave downward, enter NA in the associated response area.
皮
& P
Include a multiplication sign between symbols. For example, a . *.
Click for List
Enter your answers in increasing order of the z-coordinate. If there are less than two points of inflection, enter NA in the remaining response areas.
Click for List
& P
BD)
Transcribed Image Text:2 Consider the function f(x) = x+61 3. (a) Find the domain of f(x). Note: Use the letter U for union. To enter oo, type infinity with a lower case i. Domain: (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). Note: Use the letter U for union. To enter oo, type infinity with a lower case i. If the function is never increasing or decreasing, enter NA in the associated response area. increasing: decreasing f( f( (d) Give the local maximum and minimum values of f(x). P Enter your answers i increasing order of the z-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 .. (e) Give the intervals of concavity of f (x). concave upward: & P)= &G)= concave downward: & P KA (f) Give the inflection points of f(x). & P Note: Use the letter U for union. To enter oo, type infinity with a lower case i. If the function is never concave upward or concave downward, enter NA in the associated response area. 皮 & P Include a multiplication sign between symbols. For example, a . *. Click for List Enter your answers in increasing order of the z-coordinate. If there are less than two points of inflection, enter NA in the remaining response areas. Click for List & P BD)
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