Consider the function 2x+6 f(x)= x²+6 Find the critical point(s) off. (Give yourans wer 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 critical points). critical point(s): ? Use the First Derivative Test to determine whether the critical point (s) yield(s) a local minimum ora 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 the function is increasing or decreasing. (Give your answer as an interval in the form (*, *) use the symbol ∞0 for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[", "]" depending on whether the interval is open or closed Enter 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 ? R.R.

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 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Hello please answer this calculus homework question attached below:

Consider the function
2x+6
f(x)=
x² +6
Find the critical point(s) off.
(Give yourans wer 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 critical points).
critical point(s): ?
Use the First Derivative Test to determine whether the critical point(s) yield(s) a lo cal minimum ora 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 the function is increasing or decreasing.
(Give your answer as an interval in the form (*, *) use the symbol ∞ for infinity,
for combining intervals, and an appropriate
if the interval is empty. Express
type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter
numbers in exact form. Use symbolic notation and fractions where needed.)
f
is increasing on ?
f is decreasing on
2.
Transcribed Image Text:Consider the function 2x+6 f(x)= x² +6 Find the critical point(s) off. (Give yourans wer 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 critical points). critical point(s): ? Use the First Derivative Test to determine whether the critical point(s) yield(s) a lo cal minimum ora 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 the function is increasing or decreasing. (Give your answer as an interval in the form (*, *) use the symbol ∞ for infinity, for combining intervals, and an appropriate if the interval is empty. Express type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter numbers in exact form. Use symbolic notation and fractions where needed.) f is increasing on ? f is decreasing on 2.
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