Question

Let f(x) be a continuous function on the closed interval [0,5], such that f(0) = 2, f(5)=4. Use the Intermediate Value theorem to find the integer number A, for which the equation f(x)= A always has a solution on the interval (0,5), no matter what function f with the properties described above we have.

Answer 1

f(x) = A, so A is an integer??