Question

Is f(x)=x^2+2 a one to one function? Please explain why or why not!

Answer 1

No. See below.

Explanation:

Lets put x = 1:-

f(1) = 1^2 + 2 = 3.

Now let x = -1:

f(-1) = (-1)^2 + 2 = 3.

So f(x) is not a one-to-one function.

It is a many to one function.