Problem 4

Give the expression of a function with the (maximum possible) domain [0,4] and the range [2,5].
Solution 1. f(x) = (3)/(2)(4x − x2) + 2.
Solution 2. h(x) = (3)/(π)arcsin(x)/(2) − 1 + (7)/(2).
Solution 1. g(x) = (3)/(π)arccos(x)/(2) − 1 + 2.
figure fig_Problem_4.jpg