Question

Use the graph of h shown above and the table below to answer the following festin 2 -1 2 3 5 k(0) 0 1 5 - 4 (a) Find h(k(5)) c) Solve k(h(2)) = 0. (b) Find k-'(h(0)) (d) Calculate the average rate of change of h on the interval (0,4). IB Compute the average rate of change of f(0) = 3x2 + x from x = h + 1 to x = 1 and simplify your answer completely.

Answer 1

Use the graph of h shown above and the table below to answer the following festin 2 -1 2 3 5 k(0) 0 1 5 - 4 (a) Find h(k(5)) (c) Solve k(h(2)) = 0. (b) Find k-(h(0)). (d) Calculate the average rate of change of h on the interval (0,4). Cay (k(s)) = f(-5) = -1 (6) kê'(.(.): ky'(5) = [3] (5) K 6-1)=0 => h(x) = -1 => x = - 4,4 () Average rate of change = h (4):6() =-175 IB Compute the average rate of change of f(x) = 3.+ x from x = h + 1 to z = 1 and simplify your answer completely. NW y=h(x) -5 -4 -3 -2 -1 0 1 2 3 4 5 > Average rate of change = f(h+1)-f(1) = 3Ch+12+(6+1)-3(12) - || - 3 (h+1+1)(h+1 -1)+h+1-1 3h (h+2)+h 3th +6+1 = 3h+7)