Please answer Question #3 in the picture Let f(x) = VI(2r - 6).(a) Find the intervals on which f is increasing and those on which f is decreasing.(b) Determine the r-coordinates of all local maxima and local minima.1.* 2.(Let f(r) = x² - 4 sin x for 0

– 2r3. 3.0) Let f(x) =1+3x? (a) Find all critical values for f. (b) For each critical value, use the Second Derivative Test to determine whether f has a local maximum or local minimum at that value, or state if the test is inconclusive. %3D -

– 2r3. 3.0) Let f(x) =1+3x? (a) Find all critical values for f. (b) For each critical value, use the Second Derivative Test to determine whether f has a local maximum or local minimum at that value, or state if the test is inconclusive. %3D -

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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Question

Please answer Question #3 in the picture

Let f(x) = VI(2r - 6).
(a) Find the intervals on which f is increasing and those on which f is decreasing.
(b) Determine the r-coordinates of all local maxima and local minima.
1.
* 2.(Let f(r) = x² - 4 sin x for 0 <r< 27. Find the intervals on which f is concave
downward. (Enter your final answer in Canvas.)
Let f(r) = 1+3x² – 2r3.
(a) Find all critical values for f.
(b) For each critical value, use the Second Derivative Test to determine whether f has
a local maximum or local minimum at that value, or state if the test is inconclusive.
3.
%3D
* 4.(Determine the equations of all vertical asymptotes and horizontal asymptotes for
2x - 4
f(1) :
(Enter
your final answers in Canvas as equations.)
x2 - x - 2
5.( Use the methods of this class to find two numbers, x and y, whose sum is 10 and
with the property that ry is as large as possible. Be sure to justify the claim that
your answer gives the largest possible value of x2y. (Enter your numbers in Canvas.)

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