Question

Determine whether or not the function r(x) =x^2-2 is one -to-one

Answer 1

The function is not one-to-one

Explanation:

This is a quadratic function.

`f(x)=x^2-2`

A function is one-to-one

`\text{if } f(x_1)=f(x_2) \Leftrightarrow x_1=x_2`

The function given is not one-to-one because there are values of the input
`x`, which leads to the same output.

For example.

`y=f(2)=2^2-2=\boxed{2}`

`y=f(-2)=(-2)^2-2=\boxed{2}`