Graph the equation. Include the coordinates (x,y) of any local extreme points and inflection points. You may list them. Hint: There are 3 inflection points. State intervals of concave up or concave down. 8x 22) y = x2 + 415) State the hypotheses and conclusion of Rolle's Theorem. Give an example of a function that satisfies these hypotheses.Find the absolute extreme values of the function on the interval. 10) f(x) = - 2e-x2Determine whether the function satisfies the hypotheses of the Mean Value Theorem for the given interval. 13) s(t) = t(1 - t). [-1,5]