SOLUTION: Hello, my name is Casandra. How do you solve for the domain and range of x^2-5? (x^2 is equal to x squared the "2" is the exponent)

Algebra ->  Equations -> SOLUTION: Hello, my name is Casandra. How do you solve for the domain and range of x^2-5? (x^2 is equal to x squared the "2" is the exponent)      Log On


   



Question 888523: Hello, my name is Casandra. How do you solve for the domain and range of x^2-5? (x^2 is equal to x squared the "2" is the exponent)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
As for the domain, you are being asked:
" What values of +x+ are possible? "
You can plug any value of +x+ into the
equation, either positive, negative, or zero,
and the function, which is +x%5E2+-+5+
will return some number.
So, the domain is minus infinity to plus infinity
-------------------------------------------
As for the range, you are being asked:
" What values of the function +x%5E2+-+5+
are possible? "
This function can be as large a positive number
as you want- just keep making +x+ more positive, or
you can keep making +x+ more and more negative
and the function gets more positive.
Also the function can be zero. Just make +x+=+sqrt%285%29+, or
+-sqrt%285%29+
-------------------
But the function +x%5E2+-+5+ can only be as negative as +-5+
There is nothing you can do to the +x%5E2+ term to make
the function more negative than +-5+
--------------------
So, the range of +x%5E2+-+5+ is +-5+ to plus infinity
Hope this helps