f(x)=1/6x^2

Question

I am looking for the domain or range. If the domain all real numbers what is the range? If the range is all real numbers then what is the domain? What is the domain or Range?

 

Answer 1

Your domain is all real numbers except zero.  This is because the denominator cannot be zero.

 

You can get the range by finding the horizontal asymptote.  The horizontal asymptote is the x-axis.  Therefore, the range is all positive real numbers.  This is because any number raised to an even power is always positive.

 

Domain in the interval (-∞, 0)∪(0, ∞).

Range in the interval (0, ∞).