Answer all please and show complete work. Don't miss a step when showing work. Make sure to use Grade 12 methods only. Don't use anything more advanced.

Question 1 (2 points) 5(x2 - 4) Consider the function f(x) = x2 + 2x - 8 (a) To use a limit and find its horizontal asymptote what must be done first? (b) Find the horizontal asymptote as x - - co using your limit.Question 3 (2 points) The function A(x) - x - 3x2 + x+ 2 is concave up on which interval? Question 4 (2 points) Ax) = x(x- 1)2 lim f(x) Give the function Evaluate the one-sided limit: *+0" State what it means. Question 5 (2 points) For the function f(x) = 16+ 4x + x2 - 3x3, find the point of inflection. Question 6 (2 points) For the function f(x) - 5+ 5x- x', find the local extrema. Then, classify the local extrema using the second derivative test