Question

Suppose that f(x)=x^4-3x^3. (A) List all the critical values of f(x). Note: If there are no...

Suppose that f(x)=x^4-3x^3.

(A) List all the critical values of f(x). Note: If there are no critical values, enter 'NONE'

(B) Use interval notation to indicate where f(x) is increasing.
Note: Use 'INF' for ∞, '-INF' for −∞, and use 'U' for the union symbol.

(C) Use interval notation to indicate where f(x) is decreasing.

(D) List the xx values of all local maxima of f(x). If there are no local maxima, enter 'NONE'.

(E) List the xx values of all local minima of f(x). If there are no local minima, enter 'NONE'.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
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...
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...
Find the absolute maximum and minimum values of f(x)= −x^3−3x^2+4x+3, if any, over the interval (−∞,+∞)(−∞,+∞)....
Find the absolute maximum and minimum values of f(x)= −x^3−3x^2+4x+3, if any, over the interval (−∞,+∞)(−∞,+∞). I know it doesn't have absolute maxima and minima but where do they occur? In other words x= ? for the maxima and minima?
question #1: Consider the following function. f(x) = 16 − x2,     x ≤ 0 −7x,     x...
question #1: Consider the following function. f(x) = 16 − x2,     x ≤ 0 −7x,     x > 0 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) x = (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing     decreasing   question#2: Consider the following function. f(x) = 2x + 1,     x ≤ −1 x2 − 2,     x...
given function f(x)=-x^3+5x^2-3x+2 A) Determine the intervals where F(x) Is increasing and decreasing b) use your...
given function f(x)=-x^3+5x^2-3x+2 A) Determine the intervals where F(x) Is increasing and decreasing b) use your answer from a to determine any relative maxima or minima of the function c) Find that intervals where f(x) is concave up and concave down and any points of inflection
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...
Given f(x)= x3 - 6x2-15x+30 Determine f ’(x) Define “critical point” of a function. Then determine...
Given f(x)= x3 - 6x2-15x+30 Determine f ’(x) Define “critical point” of a function. Then determine the critical points of f(x). Use the sign of f ’(x) to determine the interval(s) on which the function is increasing and the interval(s) on which it is decreasing. Use the results from (c) to determine the location and values (x and y-values of the relative maxima and the relative minima of f(x). Determine f ’’(x) On which intervals is the graph of f(x)...
Analyze and sketch the graph of the function f(x) = (x − 4)2/3 (a) Determine the...
Analyze and sketch the graph of the function f(x) = (x − 4)2/3 (a) Determine the intervals on which f(x) is increasing / decreasing (b) Determine if any critical values correspond to a relative maxima / minima (c) Find possible inflection points (d) Determine intervals where f(x) is concave up / down
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.  ...
Consider the graph y=x^3+3x^2-24x+10 Determine: a) interval(s) on which it is increasing b) interval(s) on which...
Consider the graph y=x^3+3x^2-24x+10 Determine: a) interval(s) on which it is increasing b) interval(s) on which it is decreasing c) any local maxima or minima d) interval(s) on which it is concave up e) interval(s) on which it is concave down f) any point(s) of inflection
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT