Question #16cae
1 Answer
Have you tried graphing the function?
Here it is:
graph{y=2/x [-10, 10, -5, 5]}
Looking at the ends of the x-axis and examining the function horizontally, it becomes clear that the
Domain:
All real numbers except 0
Looking at the ends of the x-axis and examining the function horizontally, it becomes clear that the
Range:
All real numbers except 0
Explanation:
BUT WHY?
Domain:
(if x=0, then the function is undefined)
Range:
Although the function approaches zero, there is no possible value for x that would make y=0, so the function never touches the x-axis or y=0
This is quite simple to understand although it may take some time.
I recommend you to try and find the asymptotes of graphs like these, which are lines that the function never touches or crosses.
Hope that helps!