# What is the domain and range of y=1/2(2)^x?

Mar 2, 2017

#### Answer:

Domain $x \in \left(- \infty , \infty\right)$
Range $y \in \left(- \infty , \infty\right)$

#### Explanation:

Domain $x \in \left(- \infty , \infty\right)$
Range $y \in \left(- \infty , \infty\right)$
The domain of a function is the complete set of possible values of the independent variable.
The range of a function is the spread of possible y-values (minimum y-value to maximum y-value).

In this case we can see that the function is rational for all values of x, which will also generate all possible values for y. Thus, the domain and range are both infinite.