what is the domain of x^2-1

Mathematics · High School · Tue Nov 03 2020

Answered on

Given the quadratic function:

x^2 - 1

Determine the Domain.

The domain is referred to as a set in which all input values will have corresponding output in a function. 

Since we are given a quadratic function, it is a common rule that the domain of any quadratic function will fall to the set of all real numbers, since any value that will be designated in x^2 will become a positive number, even though it is a negative for example, (-1)^2 = 1, (-2)^2 =4. Negative number multiplied to a negative number will result to a positive number, since same signs will yield a positive result, and different signs will yield a negative result.
 

Therefore, the domain of x^2 -1 is the set of all real numbers.