1. Consider the function dened by f (x) = Ax' 133:3 + 16x2. a] Determine the end behaviour and the intercepts? [K, 2] b] Find the critical points and the points of inflection. [A, 3] c] Determine the interval of increasingfdecreasing and the concavity. [(3, 3] d) Sketch the graph. [IL 2] Ax 2. Analyze and then sketch the function 2. x +Bx+E a] Determine the asymptotes. [A, 2] b) Determine the end behaviour and the intercepts? [K, 2] c] Find the critical points and the points of inflection. [A, 3] d) Determine the interval of increasingldecreasing and the concavity. [(2, 3] e] Sketch the graph. [K, 2] 3. Draw a graph showing the first derivative of a function with the following information. i. Curve should be concave up ii. x-intercepts should be -E and +F iii. y-intercept should be -D iv. Choose the value of minima as per your understanding