Final answer:
The question pertains to identifying discontinuities at given points in a function. Discontinuities can occur due to undefined values, jump discontinuities, asymptotes, or removable discontinuities. A specific function is needed to accurately find and describe these points.
Step-by-step explanation:
The student is asking about the discontinuities of a function. Discontinuities in a function occur where a function is not continuous; these can be points where the function is not defined, where there is a jump discontinuity, where the function goes to infinity (an asymptote), or where the function has a removable discontinuity (hole).
Without the specific function provided, I cannot determine which option is correct. However, typically you would look at the function and check the points of interest (in this case, 0 and 3) to see if the function is defined there, if there is any abrupt change in value, or if the function approaches infinity.
If the function has a defined limit and equals that limit from both sides at a point, the function is continuous at that point. If not, it's discontinuous.
For example, if the function was f(x) = 1/x, as mentioned in the reference, there would be a discontinuity at x=0 because the function approaches infinity as x approaches 0, which is a type of discontinuity known as an asymptote.