Why is #y=1/x# a continuous function?
4 Answers
Explanation:
This function has a point of discontinuity at
Similarly,
So this function is NOT continuous as it has asymptotes along the lines
Explanation:
We first need to determine the domain of
Hence, the domain of
Now,
Since
See below.
Explanation:
You seem to be getting conflicting information on this. One of the reasons is because continuity is generally referring to a given point or interval. The function is said to be discontinuous at a point if the limit at that point dosen't exist. So for a function to be continuous over the domain, the limit of any point in the domain must exist. For the function
The domain under consideration determines the answer here. The function
Explanation:
The function
On the other hand, the function