Question

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

Answer 1

Answer:

The function is not one-to-one

Step-by-step 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.

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

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