Question

Determine the range of the function f(x)=x^2-2/2 when the domain is {0, 2}. HELP

Answer 1

The range of function is { -1, 1 }

Solution:

Given that, the function is:

$f(x) = \frac{x^2-2}{2}$

Domain is {0, 2 }

We have to find the range of function

The domain refers to the set of possible input values

The range is the set of possible output values

Here domain is x = 0 and x = 2

Substitute x = 0 in given function

$f(0) = \frac{0-2}{2}\\\\f(0) = \frac{-2}{2}\\\\f(0) = -1$

Substitute x = 2 in given function

$f(2) = \frac{2^2-2}{2}\\\\f(2) = \frac{4-2}{2}\\\\f(2) = \frac{2}{2} = 1$

Thus the range of function is { -1, 1 }