Answer:
- A
- B
Explanation:
1.
The closed circle at (2, -1) means the domain of the rightmost piece is x ≥ 2. That is correctly shown in choices A and C.
The domains of the remaining pieces are continuous, so the gap between -3 and -2 in choice C is inappropriate. The correct choice is A.
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2.
A function is continuous if you can draw its graph without lifting your pencil. Here, there is a jump discontinuity at x=2, so this function is discontinuous.