Question

Let f (x) = (x + 1)(x + 2)(x + 3)(x + 4) + 5 , where x ∈ [-6, 6]. If the range of the function is [a, b] where a b, ∈N, then find the value of a + b/1683.

Answer 1

Therefore, minimum value of f (x) = 4 and maximum value occurs at x = 6.