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Please help! Thank you! T Let r(2) = Find the intervals on which the function r...
Find the intervals on which the graph offis concave upward, the intervals on which the graph off is concave downward, and the inflection points. f(x)=x2-9x+3x+4 For what interval(s) of x is the graph off concave upward? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. IA. (Type your answer in interval notation. Type an exact answer. Use a comma to separate answers as needed.) OB. The graph is never concave upward. For...
Find the largest open intervals on which the function is concave upward or concave downward, and find the location of any points of inflection. f(x) = -x - = -x - 3x +4 Select the correct choice below and fill in the answer box(es) to complete your choice. (Type your answer in interval notation. Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression.) O A. The function is concave upward on...
Please Label and circle answers, interval notation and ordered pair Find the intervals on which the graph of fis concave upward, the intervals on which the graph off is concave downward, and the inflection points. f(x)=x2 - 15x2 + 3x+3 For what interval(s) of x is the graph off concave upward? Select the correct choice below and, if necessary, fill in the answer box to complete your choice OA. (Type your answer in interval notation. Type an exact answer. Use...
5.1 - 2 (2 points) Let f(x) Find the open intervals on which f is concave up (down). Then determine the e-coordinates of all inflection points of 2 + 7 1. f is concave up on the intervals 2. f is concave down on the intervals 3. The inflection points 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 intervals, such as (-int, 2),...
1. (20 points) The second derivative of a function f(x) satisfies f "(x) = 10x4 - 2 Moreover, f'(0) = 0 and f(1) = 0. (a) Find the function f(x). (b) Draw a graph of f(x). Indicate all asymptotes (if any), local maxima and minima, inflection points, intervals where f(x) is increasing, and intervals where f(x) is concave upward.
Please help me find the inflection point EXAMPLE 6 Discuss the curve y = 2x4 – 32x3 with respect to concavity, points of inflection, and local maxima and minima. Use this information to sketch the curve. SOLUTION If f(x) = 2x4 – 32x3, then f'(x) 8x3 - 96x2 = 8x2(x – 12) f"(x) = 24x2 192x = 24x(x – 8). To find the critical numbers we set f'(x) = 0 and obtain x = 0 and x = 12 the...
Let f(x)=3x-7/x+2. Find the open intervals on which f is concave up (down). Then determine the x-coordinates of all inflection points of f. Let Find the open intervals on which is concave up down Then determine the X-coordinates of all inflection points of x = f is concave up on the intervals 1. 2. f is concave down on the intervals 3· The inflection points occur at Notes: In the first two, your answer should either be a single interval,...
Final page 5 of 13 4. Let f(x)8+1 a) Find all the critical points. b) Find the interval(s) where f(x) is decreasing. List these intervals c) Find the r coordinates of all relative maxima. d) Find, if they exist, the s-coordinates of all points of inflection e) Determine the intervals where f is concave up. List these intervals Final page 5 of 13 4. Let f(x)8+1 a) Find all the critical points. b) Find the interval(s) where f(x) is decreasing....
7x - 4 (1 point) Let f(x) = - 1. Find the open intervals on which f is concave up (down). Then determine the x-coordinates of all inflection x+4 points of f. 1. f is concave up on the intervals 2. f is concave down on the intervals 3. The inflection points occur at x = Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as...
Given the function: f(x)=(x^2-4x+6)/(x-1)^2 a) Find the asymptotes of f, if any b) Find the first and the second derivatives of f c) Find the intervals of increase and decrease of f d) Find the relative maxima and the relative minima, if any e) Find the intervals where f is concave up and down, respectively, together with the points of inflection, if any.