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Find the intervals of increase and decrease for the given function. f(x) = {23 – 9x...
1. (1 point) Let f(x) = -3 - 9x? +152 +5. Find the open intervals on which is increasing (decreasing). Then determine the 2-coordinates of all relative maxima (minima). f is increasing on the intervals f is decreasing on the intervals 3. The relative maxima of foccur at 2 = 4. The relative minima off occur at - 2. Notes: In the first two your answer should either be a single interval, such as (0,1), a comma separated list of...
Consider the function f(x) = 9x + 7x1. For this function there are four important intervals: (-00, A], (A,B),(B,C), and [C,) where A, and are the critical numbers and the function is not defined at B. Find A and B and C For each of the following open intervals, tell whether f(x) is increasing or decreasing. (-00, A): Select an answer (A, B): Select an answer (B, C): Select an answer (C,00) Select an answer Note that this function has...
Given f(x) = 2x - 3x - 36x +6. (a) Find the intervals on which fis increasing or decreasing. (b) Find the relative maxima and relative minima of f. Select one: a. (a) Increasing on (-3,2), decreasing on (-0, -3) and (2,00) (b) Rel. max. f(2)= 62 rel. min. f(-3) = -33 o b. None of these c. (a) Increasing on (-2, 3), decreasing on (-00,-2) and (3,0) (b) Rel. max. f(3) = 75, rel. min. f(-2) = -50 d....
. Consider the function f(x) = 2x^ 3 + 9x^ 2 − 24x + 1. (1) (5 points) Find all the critical points of f(x). (2) (5 points) Find the intervals on which f(x) is increasing and decreasing, and find the x-values of any relative minima/maxima.
Find the intervals of increase and decrease for the function f(x)= 3 - 16x - 4. Express your answers as inequalities. Separate multiple answers with commas if necessary. If no such answer exists use the DNE button.
The DERIVATIVE f'(x) of a function f(x) is given by f'(x) = x²(x - 3). Find the intervals on which the function f(x) is DECREASING OA (-2,0) and (3,00) OB. (-0,0) and (0,3) Oc (0,3) OD. (-0,0) OE (3,0)
The graph of y = f'(x), the derivative of a function f. 600,00) is given below: y= f'() Which of the following must be true? of is decreasing on (2, 4) and concave down on (-3,3). of is increasing on (-2, 2) and concave down on (0,4). f is increasing on (-3,0) and concave down on (0,4). fis decreasing on (0,4) and concave down on (-2,2).
(1 point) Let f(x) = 6x + Find the open intervals on which f is increasing (decreasing). Then determine the e-coordinates of all relative maxima (minima) 1. f is increasing on the intervals (-INF-sqrt(1/3)U(sqrt(1/3).INF) 2. fis decreasing on the intervals (-sqrt(1/3).0)0(0,sqrt(1/3)) 3. The relative maxima off occur at sqrt(1/3) 4. The relative minima off occur at z = sqrt(1/3) Notes: In the first two your answer should either be a single interval, such as (0,1), a comma separated list of...
Consider the function f(x)= x + 12x^2/3 (c) Give the intervals of increase and decrease of f(x). (d) Give the local maximum and minimum values of f(x). (e) Give the intervals of concavity of f(x).
Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. f(x)=x -3x+6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is increasing on (Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.) OB. The function is never increasing. Select the correct choice below and, if necessary, fill in...