please answer all and show steps! thank you so much :)

1. (4 points) Use the graph of y = f(x) below to evaluate the following. lim f(x) = lim f (x) = lim f (x) = f ( 6) = x- 6+ 45 -40 35 -30- 25 20- 15- 10 -5. -2 0 6 8 10 12 2. (4 points) Consider the following function: ata ifx 4 What values for a and b make f (x) continuous at x = 4? 3. (4 points) Consider the table below. f (x) g(x) f'(x) g'(x) 50 2 3 (a) Find u'(7) if u(x) = f(x) . g(x). (b) Find q'(7) if q(x) = f(x) /9(x). 4. (4 points) Let f(x) = sin(4g(x)). Evaluate f'(x). 5. (2 points) What is the 100th derivative of 5x59? Explain your