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...
Suppose that f(x)=x−3x^1/3 (A) Find all critical values of f. If there are no critical values,...
Suppose that f(x)=x−3x^1/3 (A) Find all critical values of f. If there are no critical values, enter -1000. If there are more than one, enter them separated by commas. Critical value(s) = (B) Use interval notation to indicate where f(x) is increasing. Note: When using interval notation in WeBWorK, you use INF for ∞∞, -INF for −∞−∞, and U for the union symbol. If there are no values that satisfy the required condition, then enter "{}" without the quotation marks....
Suppose that f(x)=6/x^2−25. (A) List all critical numbers of f. If there are no critical numbers,...
Suppose that f(x)=6/x^2−25. (A) List all critical numbers of f. If there are no critical numbers, 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 x-coordinates of all local maxima of f. If there are no local maxima, enter 'NONE'. (E) List the x-coordinates of all local minima of f....
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...
Consider the function f(x)= x3 x2 − 4 Express the domain of the function in interval...
Consider the function f(x)= x3 x2 − 4 Express the domain of the function in interval notation: Find the y-intercept: y= . Find all the x-intercepts (enter your answer as a comma-separated list): x= . On which intervals is the function positive? On which intervals is the function negative? Does f have any symmetries? f is even;f is odd;    f is periodic;None of the above. Find all the asymptotes of f (enter your answers as equations): Vertical asymptote (left): ; Vertical...
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]
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?
f(x) = 3x + 2    Domain: ________________________________                 Graph: Range:   ________________________________ x-int: ______________ y-int: ___
f(x) = 3x + 2    Domain: ________________________________                 Graph: Range:   ________________________________ x-int: ______________ y-int: ______________ Maxima: _______________________________ Minima: ________________________________                                                                 Increasing: _____________________________ Decreasing: _____________________________ Constant: ______________________________ End Behavior: ___________________________ Discontinuities: __________________________ Asymptote: _____________________________ Symmetry: _____________________________ f(x) = ½ x – 4    Domain: ________________________________                 Graph: Range:   ________________________________ x-int: ______________ y-int: ______________ Maxima: _______________________________ Minima: ________________________________                                                                 Increasing: _____________________________   Decreasing: _____________________________ Constant: ______________________________ End Behavior: ___________________________ Discontinuities: __________________________ Asymptote: _____________________________ Symmetry: _____________________________ f(x) = x2 + x + 6    Domain: ________________________________                 Graph:...
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
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT