# How do you find the domain and range of #y=x^2#?

##### 2 Answers

Domain is all real Numbers

Range is all numbers over 0 - (0,

#### Explanation:

One thing that you have to remember is that when you are finding the domain of a polynomial, it is all real number. it runs from

For finding the range, in a quadratic formula, you have to find when the finction has it's vertex. That is the place that the max or min happens and then you can find the range from there.

in this situaltion we found that the vertex is at the the origin at (0,0)

therefore the range is (0,

domain:

range:

#### Explanation:

domain: range of values that can be substituted for

in this case,

any number can be squared, including positive and negative numbers and

This means that the domain goes from

range: range of values that

in this case,

it is always positive since the squares of negative numbers are also positive, e.g.

this means that the range goes from

and here's what it looks like on a graph:

graph{x^2 [-11, 10.885, -5.475, 5.475]}

the graph stretches endlessly on the