3) In the table below, give the approximate x-coordinate of each discontinuity of the nifty function below AND give thediscontinuity type (removable, jump, or infinite). The dashed lines are one unit apart.From smallest to biggest (there may be more rows than necessary):Discontinuity atТуре

Answered: 3) In the table below, give the…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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3) In the table below, give the approximate x-coordinate of each discontinuity of the nifty function below AND give the
discontinuity type (removable, jump, or infinite). The dashed lines are one unit apart.
From smallest to biggest (there may be more rows than necessary):
Discontinuity at
Туре

Expert Solution

Step 1

Types of discontinuities:

1. Removable discontinuity- This type of discontinuities can be removed by redefining the function at the point of discontinuity. The graph of the function has a hole.

2. Jump discontinuity- This type of discontinuities occur when the graph of a function $y = f (x)$ jumps from one value to another at a particular x-value.

3. Infinite discontinuity- This type of discontinuity occurs when the function tends to the value $- \infty$ from the left and $+ \infty$ from the right or tends to the value $+ \infty$ from the left and $- \infty$ from the right.

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