Find any relative extrema of the function. List each extremum along with the x-value at which it occurs. Identify intervals over which the function is increasing and over which it is decreasing. Then sketch a graph of the function. f(x) = -5+x-x²

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 12T
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Question
K
Find any relative extrema of the function. List each extremum along with the x-value at which it occurs. Identify
intervals over which the function is increasing and over which it is decreasing. Then sketch a graph of the function.
2
f(x) = -5+x-x
Describe any relative extrema. Select the correct choice below and, if necessary, fill in the answer box(es) to within
your choice.
OA. The relative maximum point(s) is/are and there are no relative minimum points.
(Simplify your answer. Type an ordered
as needed.)
pair, using integers or fractions. Use a comma to separate answers
O B. The relative minimum point(s) is/are
and there are no relative maximum points.
(Simplify your answer. Type an ordered pair, using integers or fractions. Use a comma to separate answers
as needed.)
OC. The relative minimum point(s) is/are and the relative maximum point(s) is/are
(Simplify your answers. Type ordered pairs, using integers or fractions. Use a comma to separate answers
as needed.)
O D. There are no relative minimum points and there are no relative maximum points.
-S
10
M
w
Transcribed Image Text:K Find any relative extrema of the function. List each extremum along with the x-value at which it occurs. Identify intervals over which the function is increasing and over which it is decreasing. Then sketch a graph of the function. 2 f(x) = -5+x-x Describe any relative extrema. Select the correct choice below and, if necessary, fill in the answer box(es) to within your choice. OA. The relative maximum point(s) is/are and there are no relative minimum points. (Simplify your answer. Type an ordered as needed.) pair, using integers or fractions. Use a comma to separate answers O B. The relative minimum point(s) is/are and there are no relative maximum points. (Simplify your answer. Type an ordered pair, using integers or fractions. Use a comma to separate answers as needed.) OC. The relative minimum point(s) is/are and the relative maximum point(s) is/are (Simplify your answers. Type ordered pairs, using integers or fractions. Use a comma to separate answers as needed.) O D. There are no relative minimum points and there are no relative maximum points. -S 10 M w
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