2. (12) Use sign charts to determine over what intervals the graph of the function g(x)=...
2. (12) Use sign charts to determine over what intervals the graph of the function g(x)= x - 3x +3 is increasing, decreasing, concave up, and concave down,
Sketch the curve on paper and submit to Moodle. Show sign charts for the first and second derivative. Label intercepts, local maximum points, local minimum points, and inflection points. List intervals where the function is increasing, decreasing, concave up, and concave down. y = x(x − 4)3 , Use y' = 4(x − 4)2(x − 1) and y'' = 12(x − 4)(x − 2)
11. Find the intervals of increasing, decreasing concavity, and sketch the graph for the function f(x) = 2x3 - 3x2 - 1. Label all important points. Increasing: Decreasing: (2, 3 Concave Up: 1346, og Concave Down: (-, 31)
2. Use the information in the charts to answer the following questions and sketch the graph of the function f(x) a) List all the critical points (both coordinates) and classify them as max, min, or neither b) List all the inflection points - ND + + ND - 0 + S. Sketch the graph of each given function by doing the following (box your answer to each of the questions) 1. Determine the domain of the function. Use limits to...
> Derivatives and the shape of a graph 4- For the following exercises, determine a. intervals where fis increasing or decreasing, b. local minima and maxima off, c. intervals where fis concave up and concave down, and d. the inflection points off 226. f(x)= x4 - 6x3 228. f(x)= x + x2-r3 5- For the following exercises, determine a. intervals where fis increasing or decreasing, b. local minima and maxima off, c. intervals where fis concave up and concave down,...
Sketch the graph of f(x)= (x^2)/(x^2-1), stating all relative extreme points, intervals of increasing and decreasing, intervals of concave up and concave down, inflection points, and asymptotes.
5. Use the graph below to determine: a the intervals on which the function is increasing, if any b. the intervals on which the function is decreasing, if any c the intervals on which the function is constant, if any -4-3-2-11 1 234 -3 Examine the graph below, use possible symmetry to determine whether the graph is the graph of an even function, an odd function, or a function that is neither even nor odd. 6. -1,3) 10.2) (0, 2)...
Given the function f(x) = 6e-45 List the x-coordinates of the critical values (enter DNE if none) List the x-coordinates of the inflection points (enter DNE if none) List the intervals over which the function is increasing or decreasing (use DNE for any empty intervals) Increasing on Preview Decreasing on Preview List the intervals over which the function is concave up or concave down (use DNE for any empty intervals) Concave up on Preview Concave down on Preview
Consider the function f(x) = 4(x - 2)2/3. For this function there are two important intervals: (- 00, A) and (A, 0c) where A is a critical number. Ais For each of the following intervals, tell whether f(x) is increasing or decreasing. (-0, A): Select an answer v (A, 0): Select an answer v For each of the following intervals, tell whether f(x) is concave up or concave down. (- 00, A): Select an answer (A, 00): Select an answer
Find the maximum and minimum values of the function g(0) interval [o. 7 2θ-4 sin(θ) on the Preview Minimum value-pi/3+2pi Maximum value O Preview Given the function f(z) = 2e - List the x-coordinates of the critical values (enter DNE if none) DNE List the x-coordinates of the inflection points (enter DNE if none) DNE List the intervals over which the function is increasing or decreasing (use DNE for any empty intervals) Increasing on DNE Preview Decreasing on -1/5 *Preview...