Let f(x) Find the critical points of F and determine whether they are local minima or local maxima. (Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions where needed.) x²10x11 and F(x) = local minima: local maxima: e point(s) of inflection: f(t) dt. Find the point(s) of inflection of F. (Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions where needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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Question
Determine the intervals where F is concave up and down.
(Give your answer as an interval in the form (*,*). Use the symbol ∞ for infinity, U for combining intervals, and an appropriate
type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express
numbers in exact form. Use symbolic notation and fractions where needed.)
concave up on:
concave down on:
Plot y = f(x) and y = F(x) on the same set of axes. Use comma to separate the expressions.
y =
y
300
200
-100-
+
I
C
Transcribed Image Text:Determine the intervals where F is concave up and down. (Give your answer as an interval in the form (*,*). Use the symbol ∞ for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) concave up on: concave down on: Plot y = f(x) and y = F(x) on the same set of axes. Use comma to separate the expressions. y = y 300 200 -100- + I C
Let f(x) = x² - 10x – 11 and F(x) =
local minima:
local maxima:
0
Find the critical points of F and determine whether they are local minima or local maxima.
(Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions
where needed.)
X
point(s) of inflection:
f(t) dt.
Find the point(s) of inflection of F.
(Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions
where needed.)
Transcribed Image Text:Let f(x) = x² - 10x – 11 and F(x) = local minima: local maxima: 0 Find the critical points of F and determine whether they are local minima or local maxima. (Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions where needed.) X point(s) of inflection: f(t) dt. Find the point(s) of inflection of F. (Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions where needed.)
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