Question

The function f is defined by f(x)=2x^2-12x+13 for x≥k, where k is a constant. It is given that f is a one-one function. State the smallest possible value of k.

Answer 1

There are a few ways to go about this. The simplest way, I think, would be to write \(f(x)\) in vertex form first. Do you know how to do that? It involves completing the square.