• :00Days
• :00Hours
• :00Mins
• 00Seconds
A new era for learning is coming soon

### Select your language

Suggested languages for you:

Americas

Europe

Q. 23

Expert-verified
Found in: Page 120

### Calculus

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

### Answers without the blur.

Just sign up for free and you're in.

# 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 function is continuous on the interval $\left(-\infty ,2\right)\cup \left(2,\infty \right)$ and it has a removable discontinuity and there is not any one-sided continuity.

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 the graph is continuous on the interval $\left(-\infty ,2\right)\cup \left(2,\infty \right).$

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

From the graph, we can depict that it has removable discontinuity because $\underset{x\to 2}{\mathrm{lim}}f\left(x\right)$ exists but it is not equal to $f\left(2\right).$

The graph is neither left continuous nor right continuous at $x=2.$

### Want to see more solutions like these?

Sign up for free to discover our expert answers

## Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.