How do you find the domain and range of #f(x) = (2x)/(sqrt(16-8x))#?
The domain will be determined by saying that the radical has to be larger than
Consider the function
The domain would be
Now consider the function
Recall that a square root is undefined in the real number system if the number inside the square (the radicand) is less than 0 (
Back to our function at hand:
Hence, the domain is
The graph of the function, shown in the following image, justifies our answer.
From as far as I can tell, the range is all the real numbers. I looked at the graph to huge numbers (ex.
Thus, the range is
For the function
•The domain is
•The range is
Determine the domain and range of the function
Hopefully this helps, and good luck!