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Chapter 1: Q. 26 (page 120)

For each functionf graphed in Exercises23鈥�26, describe the intervals on whichf is continuous. For each discontinuity off, describe the type of discontinuity and any one-sided continuity. Justify your answers about discontinuities with limit statements.

Short Answer

Expert verified

The graph is continuous on the interval -鈭�,-1鈭�-1,2鈭�2,鈭�and it has a jump discontinuity and the function is right continuous atx=2.

Step by step solution

01

Step 1. Given Information. 

The given graph is

02

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

From the graph, we can depict that graph is continuous on the interval-鈭�,-1鈭�-1,2鈭�2,鈭�.

03

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 atx=2.

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Most popular questions from this chapter

For each of the following sign charts, sketch the graph of a function f that has the indicated signs, zeros, and discontinuities:

Use what you know about one-sided limits to prove that a function f is continuous at a point x=cif and only if it is both left and right continuous at x=c.

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limx鈫�1-11-x=鈭�, find未in terms ofM.

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f(x)=x鈭�1
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