Please help me answer all questions in question 1 and 2.

Question 1:

4x+9 8x+3' (2 points) Consider the function f(x) = For this function there are two important intervals: (oo,A) and (A, 00) where the function is not defined at A. Find A: Find the horizontal asymptote of f(x): y = 1/2 Find the vertical asymptote off(x): x = 3/8 For each of the following intervals, tell whether f (x) is increasing (type in INC) or decreasing (type in DEC). (00: A)- (A, 00): Note that this function has no inflection points, but we can still consider its concavity. For each of the following intervals, tell whether f(x) is concave up (type in CU) or concave down (type in CD). (oo,A): (A, 00): Sketch the graph of f(x) off line. (2 points) Consider the function f(x) = -2x3 + 33x2 - 108x + 11. For this function there are three important intervals: (-00, A), (A, B), and (B, co) where A and B are the critical values. Find A 2 and B 9 For each of the following intervals, tell whether f(x) is increasing (type in INC) or decreasing (type in DEC). (-00, A): DEC (A, B): INC (B, CO) DNC f(x) has an inflection point at x = C where C is C Finally for each of the following intervals, tell whether f(x) is concave up (type in CU) or concave down (type in CD). (-00, C): (C, co)