Consider the following function of f and real number a (see figure). f(t) = 1+7, a= -7 a. Find and graph the area function A(x) = f(1)at y = f(1) a b. Verify that A'(x) = f(x). [A(x) = area O X a. Find the area function. A(X) = Graph A(x). Choose the correct graph below. O A. O B. O c. OD. b. Verify that A'(x) = f(x) by finding the derivative of A(x) calculated in part a. A'(X) =