Log in
Mathematics
2
answers
0
watching
183
views
19 Nov 2018

6. Let f(x) = -1/2. (a) Find all vertical and horizontal asymptotes of f. [3] [3] (b) Determine the intervals where f increases/decreases. [4] (c) Determine the intervals where f is concave up, the intervals where f is concave down, and all points of inflection. [2] (d) Sketch the graph of f.

word_media_image1.png
word_media_image2.png
Watch
2
answers
0
watching
183
views

For unlimited access to Homework Help, a Homework+ subscription is required.

Unlock all answers

Get 1 free homework help answer.
Already have an account? Log in
Share
Patrina Schowalter
Patrina SchowalterLv2
21 Nov 2018
Already have an account? Log in
Share

Related questions

3 Consider the function f (a) = * + 1 Its first and second derivatives are given by f'(x) = - by fee_*2 +1 (2x2 - 1) and and I" (2) - 20 (x2 + 3) (221) D. Find the intervals where the function is concave up, concave down and the (2, y) coordinates of the inflection point(s). Write DNE if they don't exist.

The graph of the derivative f โ€˜of a continuous function f is shown.

(a) On what intervals is f increasing? Decreasing?

(b) At what values of x does f have a local maximum? Local minimum?

(c) On what intervals is f concave upward? Concave downward?

(d) State the x-coordinate(s) of the point(s) of inflection

(e) Assuming that f (0) = 0, sketch a graph of f.

4. (30 pts) EXPLANATION IS NOT REQUIRED, AND NO PARTIAL CREDIT WILL BE GIVEN. (I) The entire) graph of a function f is shown in the figure below. (a) Find the x-coordinates of all critical points of f (or write NONE). ANSWER : critical point (s) at x = (b) Find the x-coordinates of all local minima of f (or write NONE). ANSWER : local min (s) at x = (c) Find all values of x at which fattains its global minimum (or write NONE ANSWER : global min (s) at x = (d) Find the interval (or intervals) on which the derivative of fis increasing. ANSWER : derivative off is increasing on (II) The figure below shows the graphs of f, f', and f". Which curve is which? Fill in the blanks: A = -; B= 2; CD- 4. EXPLANATION IS NOT REQUIRED, AND NO PARTIAL CREDIT WILL BE GIVEN. (III) A function f' (derivative of f) is given f'(x) = (x - 2) e*. The following questions are about the function f. (a) Find all critical points of f (or write NONE). ANSWER : critical point (s) at x = (b) on what interval (or intervals) is f increasing ? ANSWER : f is increasing on (c) Find the point or points where f has a local maximum (or write NONE). ANSWER : local max at x = (d) Find the point or points where f has a local minimum. ANSWER: local min (s) at x = (e) Find f "(x), the second derivative of f. ANSWER : f''(x) = (f) Identify any inflection pionts. ANSWER : inflection point (s) at x = (g) Determine the intervals on which the function is concave up or concave down. ANSWER: fis CONCAVE UP on fis CONCAVE DOWN on

Related Documents

MATH 1P97 Lecture Notes - Lecture 6: If And Only If, Asymptote
ultramarinewoodchuck796
MATH 140 Lecture Notes - Lecture 24: Asymptote, Inflection
cyanwallaby953
MATH 157 Lecture Notes - Maxima And Minima, Asymptote
peachdonkey752

Weekly leaderboard

Home
Homework Help 3,900,000
Mathematics 240,000
Start filling in the gaps now
Log in