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Vladimir79 [104]
3 years ago
9

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

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
7 0

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}

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