Short Answer

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

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

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 $(- \infty, - 1) \cup (- 1, 2) \cup (2, \infty) .$

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 $x = 2 .$

Find Study Materials for

Create Study Materials

Select your language

Calculus

Answers without the blur.

Short Answer

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

Step 1. Given Information.

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

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

Most popular questions for Math Textbooks

Want to see more solutions like these?

Recommended explanations on Math Textbooks

Select your language

Calculus

Answers without the blur.

Short Answer

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

Step 1. Given Information.

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

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

Most popular questions for Math Textbooks

Want to see more solutions like these?

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Probability and Statistics

Statistics

Mechanics Maths

Geometry

Pure Maths