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