Question

f (a) − M(b − a) ≤ f(b) ≤ f (a) + M(b − a).

Using this fact, determine a lower bound and an upper bound for 5 (Hint: Let f (x) = x^1/2,a = 4, and b = 5, and then find bounds for f (5) =5 First, find a reasonable value for M: