(b) (5 Marks) Let f : R - R be a function with the following property: If(a) - f(b)|

(b) (5 Marks) Let f : R + R be a function with the following property: If(a) f (b)l 41a Prove that f is continuous everywhere. (c) (5 Marks) Show that the function x -bl for all e R. 7x2 + 25m + 8 has exactly one real root.