Sketch the graph of a continuous function y = 900 such that: a. g(7)=2, 01_ as x>7_, -1 7, and g'(x)> 1+ as x>7+. b. 9(7) = 2, g' - no as x>7_, g\" > 0 for x > 7, and g'(x)> 00 as x>7+. Identify the inflection points and Ay local maxima and minima of the graphed function. Identify the open 3 intervals on which the function is y=. 3 - 3x4 - 7x differentiable and is concave up and concave down. . . . Find the inflection point(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The point(s) is/are (Type an ordered pair. Simplify your answer. Use a comma to separate answers as needed.) O B. There are no inflection points.Identify the inflection points and local maxima and minima of the function below and its associated graph. Identify the open intervals on which the function is differentiable and is concave up and concave down. W/ N I C y= . . . Find the inflection points of the curve. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The inflection point(s) is/are (Type an ordered pair. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) O B. There are no inflection points.Graph the function y= x- - 10x + 21 by identifying the domain and any symmetries, finding the derivatives y' and y", finding the critical points and identifying the function's behavior at each one, finding where the curve is increasing and where it is decreasing, finding the points of inflection, determining the concavity of the curve, identifying any asymptotes, and plotting any key points such as intercepts, critical points, and inflection points. Then find coordinates of absolute extreme points, if any.Graph the function y = (x3 - 3x - 4) by identifying the domain and any symmetries, finding the derivatives y' and y", finding the critical points and identifying the function's behavior at each one, finding where the curve is increasing and where it is decreasing, finding the points of inflection, determining the concavity of the curve, identifying any asymptotes, and plotting any key points such as intercepts, critical points, and inflection points. Then find coordinates of absolute extreme points, if any.Graph the function y = - 4x + 12x -7 by identifying the domain and any symmetries, finding the derivatives y' and y", finding the critical points and identifying the function's behavior at each one, finding where the curve is increasing and where it is decreasing, finding the points of inflection, determining the concavity of the curve, identifying any asymptotes, and plotting any key points such as intercepts, critical points, and inflection points. Then find coordinates of absolute extreme points, if any