# What is the domain and range of #y=1/2x^2+4#?

##### 1 Answer

Oct 21, 2014

Consider the function

The domain of this function is all the values of *x* for which the function holds. The range is all those values of *y* for which the function is valid.

Now, coming to your question.

This function is valid for any real value of *x*. Thus the domain of this function is the set of all real numbers, i.e. ,

Now, separate out x.

=>

=>

=>

Thus, the function is valid for all real numbers greater than or equal to 4. Therefore the range of this function is [4,