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Q. 26

Expert-verified
Found in: Page 120

### Calculus

Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861

# 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.

The graph is continuous on the interval $\left(-\infty ,-1\right)\cup \left(-1,2\right)\cup \left(2,\infty \right)$ and it has a jump discontinuity and the function is right continuous at $x=2.$

See the step by step solution

## Step 1. Given Information.

The given graph is

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

From the graph, we can depict that graph is continuous on the interval $\left(-\infty ,-1\right)\cup \left(-1,2\right)\cup \left(2,\infty \right).$

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

From the graph, we can depict that it has a jump discontinuity. The function is right continuous at $x=2.$