# What is the domain and range of #f(x) = 2x²-3x-1 #?

##### 1 Answer

Aug 26, 2017

#### Answer:

See the solution below

#### Explanation:

Domain is the value of x that it can take, which in this case is infinite.

So it can be written as

let us suppose

Range the values y can take

First we'll find the minimum value of of the function.

Note that the minimum value would be a co-ordinate i.e it will be of the form (x,y) but we'll only take the y value.

This can be found out by the formula

where D is the discriminant.

Therefore

graph{2x^2 - 3x-1 [-10, 10, -5, 5]}

therefore the range of