What is the domain and range of y= x^2-2?

1 Answer
Adam G.
Nov 10, 2015

Use logical reasoning to find the domain and ranges of functions.

Explanation:

The domain of a function is all values of x that can be put in without getting an undefined answer. In your case if we think about it is there any value of x that would 'break' the equation? No there is no so the domain of the function is all real values of x which is written as x in RR.

The range of a function is the range of possible values y could become. In your case we have an x^2 which means we can never have a negative value of x^2. The lowest value of x^2 we can have is 0, if we put in an x value of 0.

Given there is -2 on the end of the equation this means the lowest possible value of y we can get is -2, meaning the range of the function is: y >= -2

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