1. (1 point each blank) No partial credit given on this problem. Use information about the differentiable function H(t) from the table and the graphs of f and g given below to answer the questions. t H(t) \ H(t)H"(t) 16 62 = f(f) 6 -4-2 (a) The average rate of change in H on the interval [3, 6 is (b) The percentage rate of change in H at t = 3 is (c) Let k(t)- VH(t). Then k(3)- (d) At how many t values is f(t) discontinuous? (e) What is f(-1)? (f) Is g"(-1) positive, negative or zero? (g) Where is g'(a) negative? (h) Find lim g(x) if it exists. (i) Write one of the following symbols in each answer blank below: , or - i. f"(3)H"(3) ii. f(6) H(6)
Show transcribed image text1. (1 point each blank) No partial credit given on this problem. Use information about the differentiable function H(t) from the table and the graphs of f and g given below to answer the questions. t H(t) \ H(t)H"(t) 16 62 = f(f) 6 -4-2 (a) The average rate of change in H on the interval [3, 6 is (b) The percentage rate of change in H at t = 3 is (c) Let k(t)- VH(t). Then k(3)- (d) At how many t values is f(t) discontinuous? (e) What is f(-1)? (f) Is g"(-1) positive, negative or zero? (g) Where is g'(a) negative? (h) Find lim g(x) if it exists. (i) Write one of the following symbols in each answer blank below: , or - i. f"(3)H"(3) ii. f(6) H(6)