Question

Question 1 is on the photo attached

question 2-
is the piecewise function from problem 1 continuous or discontinuous?

A continuous
B discontinuous
C neither
D both

Answer 1

1. A
2. 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.