# How do you find the domain and range for #y = x^2-5#?

##### 1 Answer

Jul 3, 2016

the domain is

#### Explanation:

Since y is a polynomial, its domain is

Then you find x:

that has two solutions:

that are verified only if

or

Then the range of y is

You also can see the domain and the range in the graphic:

graph{x^2-5 [-10, 10, -5, 5]}

the domain, on x-axis, is all along the line,

the range begin in the y-coordinate -5 and continues to