SAT HELP: finding range
Hello! I already mentioned this in a previous topic, but anyways, I bought an SAT practice book for getting ready for the big test. It was pretty well formated, except it only has the answers/explanations to random questions. I was just hoping that you guys could help me with a question here or there that I didn't know how to solve. Thanks!
Find the range of the following function:
y = (12x^2 + 48) / (27-3x^2)
The following method is my own, nobody seems to use it, thus if you do not understand I will try to find another one.
Originally Posted by Mr_Green
We need to find all such that,
Has a solution in the domain ( ).
Multiply, by the denominator,
Note, because otherwise,
Thus, we can divide by it,
In order to have a solution is we require that,
Thus, that happens when,
Solving the pair of inequalities,
The first inequality is really saying that,
The second inequality is really saying that,
Thus, the range is,
Thanks. I apreciate u going over it step by step.
I like your method as well.