\fLet x) be the function 65:2 7x + 8. Then the quotient W can be simplified to ah + b for: a =i_,i and b = Ci The tangent line to y = ag) at (0, 1) passes through the point (3, 4). Compute the following. a)f(0)'_ ' b)f(0)=\\_ J Suppose that f is given for a: in the interval [0, 12] by 3:: 0 2 4 6 8 1012 x) =-20-23-24-23-21-19-15 A. Estimate f'(2) using the values of f in the table. H2) % l] B;For what values of x does f'(w) appear to be positive? (Give your answer as an interval or a list of intervals, 8.9., (-infinity,8] or (1,5),(7,10) .) C._F0r what values of :1: does f'(:i:) appear to be negative? {ave your answer as an interval or a listL of intervals, 9.9., (-infinity,8] or (1,5),(7,10) .) A function is said to have a vertical asymptote wherever the limit on the left or right (or both) is either positive or negative infinity. -3(2 + 2) For example, the function f (a) = has a vertical asymptote at x = -2. x2 + 4x + 4 Find each of the following limits. -3(ac + 2) lim help (limits) C->-2- x2 + 4x + 4 3(a + 2) lim help (limits) 27-2+ 2 + 42 +4 -3(a + 2) lim help (limits) 2->-2 x2+ 42 +4