Question

determine if the function below is continuous.
a. continuous
b. both continuous and not continuous
c. cannot be determined
d. not continuous
reset selection

Explanation:

Step1: Recall the definition of a continuous function

A function \(y = f(x)\) is continuous at a point \(x = a\) if \(\lim_{x
ightarrow a}f(x)=f(a)\). Visually, a continuous function has no breaks, holes, or jumps in its graph.

Step2: Analyze the given graph

The graph has a hole (at the \(y -\)intercept) and jumps. For example, the open - circle (hole) and the different - connected line segments indicate disruptions in the graph.

Answer:

D. not continuous