Problem #5: The graph off is given to the right. 3 Let g(x) = sod. 2 v=f(x) 1 -3 -2 1 -1 0 -1 X -2 (a) Find g(3). (b) Find g'(-2). (c) Find g"(1). (d) On what interval is g decreasing?
Problem #5: The graph of f is given to the 4- f() dt 3 right. Let g(x) y f(x) 2 2 1 0 1 3 1 (a) Find g(3) (b) Find g'(1) (c) Find g"(-2) (d) On what interval is g decreasing? Enter your answer symbolically, as in these examples Problem #5(a): #5(b) Pr Problem #5(c): If your interval is (a,b) then enter a,b in the answer box. Problem #5(d): Submit Problem # 5 for Grading Your work has been...
5pt 1. Let g() = | f(t) dt, where f is the function whose graph is shown below on the interval [0, 5). The graph consists of two straight line segments. - - - ------ -1- - - - - - --1- - -1- - - - - - - (a) Find g(1) and g(3). (b) On what interval(s) is g(x) decreasing? (c) At what x-value(s) in (0,5) does the local maximum of g occur? (d) At what x-value(s) in...
(1 point) Let F(x) = [” f(e) dt, where f(t) is the graph in the figure. Find each of the following: A. F(3) = B. F'(5) = C. The interval (with endpoints given to the nearest 0.25) where F is concave up: 1 2 4 6 7 interval = (Give your answer as an interval or a list of intervals, e.g., (-infinity,8] or (1,5),(7,10), or enter none for no intervals.) D. The value of x where F takes its maximum...
(1 point) Let F(x) = ļ," f(t) dt, where f(t) is the graph in the figure. Find each of the following: 2 A. F(2) = 0 B. F'(4) = 2 5 69 7 C. The interval (with endpoints given to the nearest 0.25) where F is concave up: interval = (1.5, 4.5) (Give your answer as an interval or a list of intervals, e.g., (-infinity, 8] or (1,5),(7,10), or enter none for no intervals.) D. The value of x where...
Let g(x) La f(t) dt, where fis the function whose graph is shown. 2 + t 6 V - -2 - (a) At what values of x do the local maximum and minimum values of g occur? Xmin = 2 X (smaller x-value) Xmin = 6 * (larger x-value) Xmax = 4 X (smaller x-value) Xmax = 8 (larger x-value) (b) Where does g attain its absolute maximum value? X = 35 webassign.net/web/Student/Assignment-Responses/last?dep=23533473#Q16 (c) on what interval is g concave...
rt) dt, where f is the function whose graph is shown. /, 0 Let g(x)- f(t) 2 (a) At what values of x do the local maximum and minimum values of g occur? Xmin xmin = xmax = Xmax (smaller x-value) (larger x-value) (smaller x-value) (larger x-value) (b) Where does g attain its absolute maximum value? (c) On what interval is g concave downward? (Enter your answer using interval notation.) (d) Sketch the graph of g. 0.5 -0.5 2 46...
please explain in detail 4 -11 23 4 Graph of f Let f be a continuous function defined on the closed interval -1Sxs4. The graph of f, consisting of three line segments, is shown above. Let g be the function defined by g(x) = 5 +1.f(t) dt for-1 $154. (A) Find g(4). (B) On what intervals is gincreasing? Justify your answer. (C) On the closed interval 1 s xs 4, find the absolute minimum value of g and find the...
Let F(x) = f f (t) dt for 2 in the interval (0,3), where f (t)is the function with the graph given in the following diagram. Ne 1 37 - 1 -2 Which of the following statements are true? Select all that apply. Fhas a local maximum at 2. F has a local minimum at 2. F is increasing on the intervals (0,0.5) and (2.5, 3). Fis decreasing on the interval (1.5, 2.5).
Let. Fox , FO) = * F"(x) = 2XT9 1.Find x-and y-intercepts of the graph of f, if it has any. 2. Find vertical and horizontal asymptote(s) of f, if it has any. 3. Find the critical number(s), intervals(s) of increasing and decreasing and points of relative extrema off, if it has any. 4. Find intervals of concavity and the point(s) of inflection of f, if any Page 2 5. Sketch the graph of f, label all important points from...