determine if the function below is continuous.\na. not continuous\nb. continuous\nc. both continuous and not…
determine if the function below is continuous.\na. not continuous\nb. continuous\nc. both continuous and not continuous\nd. cannot be determined\nreset selection
Answer
Explanation:
Step1: Recall continuity definition
A function is continuous at a point if the limit as $x$ approaches that point exists, the function is defined at that point, and the limit equals the function - value at that point. Visually, a continuous function has no breaks, jumps, or holes.
Step2: Analyze the graph
The given graph has holes (open - circles) in it. At the points where there are open - circles, the function is not continuous because the function has a break at those points.
Answer:
A. not continuous