Question

In the graph of the following piecewise function, which coordinate point will have an open circle?

f(x)={2x+2 if x>412x+1 if x≤2

Answer 1

Open circle at (4, 10).

Reason: The piece 2x + 2 applies only for x > 4 (strict), so the point at x = 4 is not included. Evaluating gives 2(4) + 2 = 10, so (4, 10) is the excluded (open) point.