Mathematics Homework Help

I’m working on a calculus multi-part question and need an explanation to help me understand better.

I have a 3 part question: First: determine on which intervals, the function is continuous. Second; and then for each continuity, describe it as either jump, removable, or infinite.

a) I have this as removable continuity at (2,4)

b) Jump discontinuity at x = 1

c) Infinite discontinuity at x = 0

I need support. The problem will be attached.