Question

In: Math

5. For the function ?(?)=−3?^4 −12?^3 Find the domain and intercepts. Find the critical numbers, intervals...

5. For the function ?(?)=−3?^4 −12?^3

  1. Find the domain and intercepts.

  1. Find the critical numbers, intervals where f (x) is increasing and decreasing, and any local maximum and local minimum points (find both coordinates).

  1. Find the intervals where f (x) is concave up and concave down and any inflection points (find both coordinates).

  1. Use this information to sketch the graph of f (x).

Solutions

Expert Solution

I have solved the problem if you have any problem with the solution then please tell me on the comment box


Related Solutions

For the function g|x|=2x/3x3-x2  ,find the domain, x-intercepts, y-intercepts, critical numbers, extrema, holes, vertical asymptotes, horizontal asymptotes,...
For the function g|x|=2x/3x3-x2  ,find the domain, x-intercepts, y-intercepts, critical numbers, extrema, holes, vertical asymptotes, horizontal asymptotes, points of inflection. If any of these items do not exist, explicitly state so.
Find the x - and y - intercepts. a) 3? − 4? = 12 c) ?...
Find the x - and y - intercepts. a) 3? − 4? = 12 c) ? = √? + 3 e) ? = |4? − 5| g) ?2 = 5 − ?
Consider the function ?(?)=(?^(4/5))*(?−3). This function has two critical numbers ?<? 1) Then ?= ? and...
Consider the function ?(?)=(?^(4/5))*(?−3). This function has two critical numbers ?<? 1) Then ?= ? and ? = ?. 2) For each of the following intervals, tell whether ?(?) is increasing or decreasing. (−∞,?]:   ? [?,?]: ? [?,∞): ? 3) The critical number A is ? and the critical number B is ? (a relative maximum / a relative minimum / neither max nor min ) There are two numbers ?<? where either ?″(?)=0 or f″(x) is undefined. 4) Then C...
4 parts following these instructions Find the critical numbers for f and the open intervals on...
4 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 part 1.   The critical numbers for f are...
graph the function A. Show steps how you find the domain, the x and y-intercepts, the...
graph the function A. Show steps how you find the domain, the x and y-intercepts, the horizontal and vertical asymptotes, the intervals of increasing and decreasing, the relative extrema, the intervals of concave up and down, all critical points, all inflection points, and any test points you use. then graph function A= 1-X/e^- X
1. Find the critical numbers of the function f (x) = x^3− 12x in the interval...
1. Find the critical numbers of the function f (x) = x^3− 12x in the interval [0, 3]. Then find the absolute maximum and the absolute minimum of f(x) on the interval [0,3]. 2. Using only the limit definition of derivative, find the derivative of f(x) = x^2− 6x (do not use the formulas of derivatives).
Let f(x) = x / (4−x^2) . (a) Find the domain and intercepts of f(x). (b)...
Let f(x) = x / (4−x^2) . (a) Find the domain and intercepts of f(x). (b) Find all asymptotes and limits describing the end behavior of f(x). (c) Find all local extrema and the intervals on which f(x) is increasing or decreasing. (d) Find the inflection points and the concavity of f(x). (e) Use this information to sketch the graph of f(x)
4. [22 pts] For the function ?(?) = 2?5 − 9?4 + 12?3 − 12?2 +...
4. [22 pts] For the function ?(?) = 2?5 − 9?4 + 12?3 − 12?2 + 10? − 3 answer the following: a. [2 pts] Determine whether the function represents a polynomial. Justify your answer. b. [4 pts] Determine whether the function satisfies the Intermediate Value Theorem on the interval [0, 5]. Justify your answer. c. [2 pts] Determine the number (quantity) of complex zeros that the function has, provided the each zero is counted by its multiplicity. d. [4...
5. Consider the function f(x) = -x^3 + 2x^2 + 2. (a) Find the domain of...
5. Consider the function f(x) = -x^3 + 2x^2 + 2. (a) Find the domain of the function and all its x and y intercepts. (b) Is the function even or odd or neither? (c) Find the critical points, all local extreme values of f, and the intervals on which f is increasing or decreasing. (d) Find the intervals where f is concave up or concave down and all inflection points. (e) Use the information you have found to sketch...
f(x) =2x^5-5x^4-10x^3+1 is defined as all real numbers a) find the intervals where F is increasing...
f(x) =2x^5-5x^4-10x^3+1 is defined as all real numbers 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 maximum, minimum and the points of inflection. d) find the absolute maximum and minimum of F over [-2,2]
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT