Question

1. f(x) =1/x , -2 less than or equal to x ,less than or equal to 2.Find the range of the function on the given domain.

Answer 1

The range of a function are the possible values it can output for a given domain. In this case the domain goes from -2 to 2, so the range will be delimited by the output of these values. We can find the range by finding the output of these.

$\begin{gathered} f_1(-2)\text{ = }\frac{1}{-2}\text{ = -}\frac{1}{2} \\ f_2(2)\text{ = }\frac{1}{2}\text{ } \end{gathered}$

They result in values that go from -1/2 to 1/2. So the range is:

$-\frac{1}{2}\leq x\leq\frac{1}{2}$