Give the exponential function

Given the exponential function f(x) = Ca* + h such that: f(0) = 5, f(1) = 7/2 and as x -> too, f (x) -> 2 and as x - -co, f (x) -> too a. Determine: h, C, and a b. Find the inverse of f(x), f- (x) c. State the domain and range of f (x) d. Plot the graph of f (x), with at least 3 points with their corresponding x and y coordinates shown on the graph