1- For the function g whose graph is given, state the value of each quantity if it exists. If it doesn't exist, explain why. a? b? c? d?

1. For the function g whose graph is given, state the value of each quantity if it exists. If it doesn't exist, explain why. (12 points) 4 2 2 4 t a) lim g(t) b) lim g(t) c) lim g(t) d) g(0) t -> 0 t- 0 t -> 0 2. Use continuity to evaluate the limit in terms of a and b. Explain your steps using words. lim byP(x) where b > 1 and P(x) is a polynomial function. (12 points) x - a3. Given the graph of f: (12 points) A) Use tracing to sketch the graph of f'. B) What is the value off '(0)? 4. The figure shows the graphs of f, f ' , f " and f'" . Identify each curve, and explain your choices. (15 points) a h I' d 5. If f and g are the functions whose graphs are shown, let P(x) = f(x)g(x), Q(x) = f(x)/g(x), and C(x) = f(g(x)).(Show all the steps) (34 points) Find: a) P' (2) b) Q' (2 ) c) C'(2) g 06. What is the slope of the tangent line to the curve y = 28x + x8 at point(0,2)? Show all the steps. (15 points)