Question

Please help me out with this

Answer 1

Answer:

a. y = {x+1, x≤2; x+2, x>2}

Step-by-step explanation:

The open circle at (2, 4) means the function is not defined as y=x+2 at that point. Only one answer selection correctly uses the inequality symbol > for that part of the function definition.

___

Comment on the other answer choices.

One selection (b) uses the region definitions x < 2 and x ≥ 2. That would put the open circle at (2, 3) and the filled circle at (2, 4)—not a match with the graph. The other function definitions (c, and d) have the relation defined as two different values at x=2. Such a relation is not a function.