1 i. At x = 0 the value of the function is zero & the slope of the line tangent to the function is
zero.
ii. At x = 4 the value of the function is 1, and the slope of the function is 1.
(a) of f(0) = ax, where a is a nonzero constant. Is it possible to find a value of a so that f meets
both requirements above? Show all work to support your answer.
(b) Let g(x) = car? - , where c is a nonzero constant. Find the value of c so that g meets both
requirements above.
(c) Let h (3) where k is a nonzero constant and n is a positive integer. Find the values of k
and n so that h meets both requirements above.