Determine the intervals of the domain over which function is continuous. Ay Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is continuous on -2- (Type your answer in interval notation.) 1- O B. The function is not continuous. -4 -3 2

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Concept explainers
Question
**Determine the intervals of the domain over which this function is continuous.**

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

**A. The function is continuous on \_\_\_\_ (Type your answer in interval notation.)**

**B. The function is not continuous.**

**Graph Details:**

The graph provided is plotted on a Cartesian plane, with the x-axis and y-axis both ranging from -5 to 5. The function is represented by a curve on the graph.

- The curve starts at point (1,2), which is indicated by a filled circle, signifying that the point is included in the function.
- The curve extends upwards and to the right and continues without interruption, passing through (3,3), and ends at point (5,4), indicated by an open circle, signifying that the point is not included in the function.

The function appears to be continuous from \( x = 1 \) to \( x = 5 \), but does not include \( x = 5 \). Therefore, the interval of continuity is \( [1, 5) \). This information can be used to complete option A.
Transcribed Image Text:**Determine the intervals of the domain over which this function is continuous.** Select the correct choice below and, if necessary, fill in the answer box to complete your choice. **A. The function is continuous on \_\_\_\_ (Type your answer in interval notation.)** **B. The function is not continuous.** **Graph Details:** The graph provided is plotted on a Cartesian plane, with the x-axis and y-axis both ranging from -5 to 5. The function is represented by a curve on the graph. - The curve starts at point (1,2), which is indicated by a filled circle, signifying that the point is included in the function. - The curve extends upwards and to the right and continues without interruption, passing through (3,3), and ends at point (5,4), indicated by an open circle, signifying that the point is not included in the function. The function appears to be continuous from \( x = 1 \) to \( x = 5 \), but does not include \( x = 5 \). Therefore, the interval of continuity is \( [1, 5) \). This information can be used to complete option A.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Application of Differentiation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education