Log in
Mathematics
1
answer
0
watching
449
views
21 Sep 2018

1. (18 pts) Let f be the function with domain (-1,6) given by the graph below. 2 y =f(x) 1 2 3 4 5 6 -31 Use the graph of f to answer the following questions. (a) Order the following four numbers from smallest to largest: f'(-0.3), f'(O), f'(2.9), f'(4). (b) List the critical point(s) of f on the interval (-1,6). Write "none" if appropriate. (c) List the x-coordinates(s) at which f has a local maximum. Write "none" if appropriate. (d) List the x-coordinates(s) at which f has a local minimum. Write "none" if appropriate. (e) List the x-coordinates(s) at which f has a absolute maximum. Write "none" if appropriate. (f) List the x-coordinates(s) at which f has a absolute minimum. Write "none" if appropriate.

word_media_image1.png
Watch
1
answer
0
watching
449
views

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

Irving Heathcote
Irving HeathcoteLv2
23 Sep 2018

Unlock all answers

Get 1 free homework help answer.
Already have an account? Log in
Share

Related questions

1. (16 pts) Let f be the function with domain [0, 6] given by the graph below. y=f(x) 3 4 5 6 Use the graph off to answer the following questions about f. (a) List the critical point(s) of f on the interval (0,6). Write "none" if appropriate. (b) List the inflection point(s) of f on the interval (0,6). Write "none" if appropriate. Use the graph off to answer the following questions about the derivative f' of f. (c) List the intervals(s) on which f' is negative. Write "none" if appropriate. (d) List the intervals(s) on which f' is decreasing. Write "none" if appropriate. (e) List the x-coordinates(s) at which f' has a local minimum. Write "none" if appropriate.

48 f(x) = 12 + (x + 1)2 4. (22 pts) The function f, its derivative f', and its second derivative f" are given by the expressions below. f'(x) = -96(x+1) (12+(x + 1)2) (12+(x + 1)2) (a) Circle the correct statement. f"(x)288(x2 + 2x - 3) i. f is even ii. f is odd. iii. f is neither even nor odd. (b) Give an equation for each horizontal asymptote of f. Write "none" if appropriate. Show your work. Show work for parts (c), (d), (e), and (f) in the space below. (c) List the interval(s) on which f is increasing. Write "none" if appropriate. (d) List the interval(s) on which f is decreasing. Write "none" if appropriate (e) List the x-value(s) at which the local minima of f occur. Write "none" if appropriate (f) List the x-value(s) at which the local maxima of f occur. Write "none" if appropriate. (8) List the interval(s) on which f is concave up. Write "none" if appropriate. (h) List the interval(s) on which f is concave down. Write "none" if appropriate. (i) List the x-coordinate(s) of the inflection points of f. Write "none" if appropriate. () Sketch the graph of y = f(x). Mark the locations of any local extrema and/or inflection points with filled-in circles. Your sketch should be consistent with your answers to (a)-0). -10 -9 -8 -7 -6 -5 -4 4 5 6 7 8 9 10

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

APPM 1350
Final Exam
Study Guide
APPM 1350 Midterm: appm1350fall2015exam2
turquoisegnu128
MATH 41
Final Exam
Study Guide
MATH 41 Midterm: Stanford MATH 41 exam2pracB
turquoisegnu128
APPM 1350
Final Exam
Study Guide
APPM 1350 Midterm: examf_f15_1350
turquoisegnu128

Weekly leaderboard

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