Question

which of the following graphs show a removable discontinuity? (select all that apply)

Explanation:

Step1: Recall definition of removable discontinuity

A removable discontinuity occurs when the limit of a function exists at a point, but the function is not defined at that point or has a different value at that point. Graphically, it appears as a hole in the graph.

Step2: Analyze each graph

The first graph has a hole (open - circle) at a point where the function could be made continuous by re - defining the function value at that point. The second graph also has a hole, which is a removable discontinuity. The third graph has a vertical asymptote, which is a non - removable discontinuity.

Answer:

The graphs with holes (open - circles) show removable discontinuities. So the graphs that apply are the ones with open - circles in them.