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

1 Answer
Nov 10, 2015

Answer:

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#