Question:

Let f : be a continuous function such that f(1) ≠ 0

And

f (x + y) = f (x) + f (y) for all x , y

1. Prove that f (0) = 0
2. Prove that f (-x) = - f(x) for all x .
3. Define a = f (1). Prove that \(f\left( n \right)=na\) for every integer n
4. Prove that f ( for every integer m , m ≠ 0. Conclude that
   f (r) = ra for every rational r
5. Prove that f(x) = ax for all x

Price: $2.99

Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document