Find the critical point(s) of the function. f(x) = x-2 – 11x-! (Give your answer in the form of a comma-separated list of values. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if the function has no critical points.) critical point(s): For each critical point, identify if it is the location of a local minimum or a local maximum. (Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if the function has no local minimum or local maximum.) local minima at x = local maxima at x =

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Find the critical point(s) of the function.
-2
f(x) = x
11x-1
(Give your answer in the form of a comma-separated list of values. Express numbers in exact form. Use symbolic notation and
fractions where needed. Enter DNE if the function has no critical points.)
critical point(s):
For each critical point, identify if it is the location of a local minimum or a local maximum.
(Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions
where needed. Enter DNE if the function has no local minimum or local maximum.)
local minima at x =
local maxima at x =
Transcribed Image Text:Find the critical point(s) of the function. -2 f(x) = x 11x-1 (Give your answer in the form of a comma-separated list of values. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if the function has no critical points.) critical point(s): For each critical point, identify if it is the location of a local minimum or a local maximum. (Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if the function has no local minimum or local maximum.) local minima at x = local maxima at x =
Find the intervals on which f is increasing or decreasing.
(Give your answer as an interval in the form (*, *). Use the symbol o 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.)
f is increasing on
f is decreasing on
Transcribed Image Text:Find the intervals on which f is increasing or decreasing. (Give your answer as an interval in the form (*, *). Use the symbol o 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.) f is increasing on f is decreasing on
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