# How do you find the domain and range for #F(x) = x^2 - 3#?

##### 1 Answer

Jul 1, 2015

Domain: all real

Range:

#### Explanation:

Your function is a Quadratic, and can be represented graphically by a Parabola.

Your function can accept any value of

The range is a little bit tricky...!

Your function has a minimum value (the **vertex** of your parabola) whose

The coordinates of the vertex can be found as:

Where your equation

So the range (the possible

Graphically:

graph{x^2-3 [-8.89, 8.89, -4.444, 4.445]}