Q. 25 - Calculus | StudyQuestionHub

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Q. 25

Question

For each function f graphed in Exercises 23–26, describe the intervals on which f is continuous. For each discontinuity of f, describe the type of discontinuity and any one-sided continuity. Justify your answers about discontinuities with limit statements.

Step-by-Step Solution

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Answer

The graph is continuous on the interval $(- \infty, - 1) \cup (- 1, 1) \cup (1, \infty)$ and it has removable discontinuity and infinite discontinuity and there is not any one-sided continuity.

1Step 1. Given Information.

The given graph is

2Step 2. Describing the intervals on which f is continuous.

From the graph, we can depict that graph is continuous on the interval $(- \infty, - 1) \cup (- 1, 1) \cup (1, \infty) .$

3Step 3. Describe the type of discontinuity and any one-sided continuity.

From the graph, we can depict that it has infinite discontinuity and removable discontinuity.

The graph is neither left continuous nor right continuous.

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