# How do you find the domain and range of #f(x) = x^2 + 5#?

##### 1 Answer

Jun 9, 2016

Domain:

Range:

#### Explanation:

The domain is easy. You can enter any real number without restriction i.e.

The range is a little trickier, but you can arrive at the answer two ways. First, if you know the graph of the function, you would know that it is a parabola opening up with its vertex at (0,5). Hence

graph{x^2+5 [-9.66, 10.34, -0.96, 9.04]}

Another way to think about the range is to consider what values