Question

Let f(x)=4+12x−x^3. Find (a) the intervals on which ff is increasing, (b) the intervals on which...

Let f(x)=4+12x−x^3. Find (a) the intervals on which ff is increasing, (b) the intervals on which ff is decreasing, (c) the open intervals on which ff is concave up, (d) the open intervals on which f is concave down, and (e) the x-coordinates of all inflection points.

(a) f is increasing on the interval(s) =
(b) f is decreasing on the interval(s) =
(c) f is concave up on the open interval(s) =
(d) f is concave down on the open interval(s) =
(e) the xx coordinate(s) of the points of inflection are =

Notes: In the first four boxes, your answer should either be a single interval, such as [0,1), a comma separated list of intervals, such as (-inf, 2), (3,4], or the word "none".

In the last box, your answer should be a comma separated list of xx values or the word "none".

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
3 parts following these instructions Find the critical numbers for f and the open intervals on...
3 parts following these instructions Find the critical numbers for f and the open intervals on which f is increasing (decreasing) For the first question, your answer should be a comma-separated list of x values or the word "none". For the other two, your answer should either be a single interval, such as (0,1), a comma-separated list of intervals, such as (-inf, 2), (3,4), or the word "none". answeres needed for each 1.   The critical numbers for f are 2.  ...
For the function f(x)=−3x^3+36x+6 (a) Find all intervals where the function is increasing. Answer: ff is...
For the function f(x)=−3x^3+36x+6 (a) Find all intervals where the function is increasing. Answer: ff is increasing on= (b) Find all intervals where the function is decreasing. Answer: ff is decreasing on= (c) Find all critical points of f(x) Answer: critical points: x= Instructions: For parts (a) and (b), give your answer as an interval or a union of intervals, such as (-infinity,8] or (1,5) U (7,10) . For part (c), enter your xx-values as a comma-separated list, or none...
Suppose that f(x)=4x2ln(x),x>0.f(x)=4x2ln⁡(x),x>0. (A) List all the critical values of f(x)f(x). Note: If there are no...
Suppose that f(x)=4x2ln(x),x>0.f(x)=4x2ln⁡(x),x>0. (A) List all the critical values of f(x)f(x). Note: If there are no critical values, enter 'NONE'. (B) Use interval notation to indicate where f(x)f(x) is increasing. Note: Use 'INF' for ∞∞, '-INF' for −∞−∞, and use 'U' for the union symbol. If there is no interval, enter 'NONE'. Increasing: (C) Use interval notation to indicate where f(x)f(x) is decreasing. Decreasing: (D) List the xx values of all local maxima of f(x)f(x). If there are no local...
Let f (x) = 3x^4 −4x^3 −12x^2 + 1, defined on R. (a) Find the intervals...
Let f (x) = 3x^4 −4x^3 −12x^2 + 1, defined on R. (a) Find the intervals where f is increasing, and decreasing. (b) Find the intervals where f is concave up, and concave down. (c) Find the local maxima, the local minima, and the points of inflection. (d) Find the Maximum and Minimum Absolute of f over [−2.3]
Let f(x)=2x^3 - 9x^2 +12x -4 Find the intervals of which f is increasing or decreasing...
Let f(x)=2x^3 - 9x^2 +12x -4 Find the intervals of which f is increasing or decreasing Find the local maximum and minimum values of f Find the intervals of concavity and the inflection points
1. Let ?(?)=−?4−4?3+8?−1. Find the open intervals on which ? is concave up (down). Then determine...
1. Let ?(?)=−?4−4?3+8?−1. Find the open intervals on which ? is concave up (down). Then determine the ?-coordinates of all inflection points of ?. 2. Find the x-values of all inflection points for the graph ?(?)=2?4+18?3−30?2+15f(x)=2x4+18x3−30x2+15. (Give your answers as a comma separated list, e.g., 3,-2.) 3. Let f(x)=1/4x2+7. Find the open intervals on which ?f is concave up (down). Then determine the ?x-coordinates of all inflection points of ?. 4. Let ?(?)=6?−3/?+4 Find the open intervals on which ?f...
For f(x) = 2x4 - 4x2 + 1 find the open intervals in which the function...
For f(x) = 2x4 - 4x2 + 1 find the open intervals in which the function is increasing and decreasing. Find open intervals where the function is concave up and concave down. Sketch the graph of the function - label all local maximums, all local minimums, and any inflection points.
4. Given the function y = f(x) = 2x^3 + 3x^2 – 12x + 2 a....
4. Given the function y = f(x) = 2x^3 + 3x^2 – 12x + 2 a. Find the intervals where f is increasing/f is decreasing b. Find the intervals where f is concave up/f is concave down c. Find all relative max and relative min (state which is which and why) d. Find all inflection points (also state why)
Let f(x) = x3 + 3x2 - 24x - 10 a) Find the intervals on which...
Let f(x) = x3 + 3x2 - 24x - 10 a) Find the intervals on which f is increasing/decreasing, and find all local maximum and local minimum values of f. b) Find all intervals on which f is concave up/concave down, and find all inflection points of f.
Find the intervals where f(x) = 2x3 + 3x2 - 36x + 7 is increasing, decreasing,...
Find the intervals where f(x) = 2x3 + 3x2 - 36x + 7 is increasing, decreasing, concave up, concave down, and the inflection points.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT