# How do you find the domain and range of #f(x)=3x^2-5#?

##### 1 Answer

Domain =

Range =

#### Explanation:

Domain is the possible x-values that can be put into the equation.

Range is all the possible y-values that can come out of the equation.

All quadratic equations have a **domain** of all real numbers, because any x-value can be plugged into the equation, and because the parabola extends width wise for infinity.

A domain of all real numbers can be written as

The **range** of quadratic equations depends on the vertex. To find the vertex of the equation, first put it in standard form (

the x-value of the vertex is 0. substitute it back in to get the y-value.

So the vertex is (0, -5). The range is either

Since *y is greater than or equal to something*.

So the range is

Domain and range are easier to find when you have the graph of the equation:graph{3x^2 - 5 [-10.59, 9.41, -6.16, 3.84]}