Chapter 2.5, Problem 4E

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8th Edition

James Stewart

ISBN: 9781305270343

Textbook Problem

From the graph of *g*, state the intervals on which *g* is continuous.

To determine

**To state:** The intervals on which *g* is continuous from the graph of *g*.

Explanation

**Definition used:**

1. A function *f* is continuous at a number *a* if

2. A function *f* is continuous on an interval if it is at continuous every number in the interval.

**Calculation:**

The graph of *g* is defined at the right endpoint of −3 and it has a break at −2. But the graph has no hole at every number on the interval

Therefore, by definition 2, the function *g* is continuous on the interval *g* is continuous from the right at −3.

The graph of *g* is undefined at the right endpoint of −2 and the left endpoint of −1. But it has no hole at every number on the interval

Therefore, by definition 2, the function *g* is continuous on the interval

The graph of *g* is undefined at the right endpoint of −1 and defined at the left endpoint of 0. The graph has no hole at every number on the interval

Therefore, by definition 2, the graph of *g* is continuous on the interval

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P-38RECh-2 P-39RECh-2 P-40RECh-2 P-41RECh-2 P-42RECh-2 P-43RECh-2 P-44RECh-2 P-45RECh-2 P-46RECh-2 P-47RECh-2 P-48RECh-2 P-49RECh-2 P-50RECh-2 P-51RECh-2 P-52RECh-2 P-53RECh-2 P-54RECh-2 P-1PCh-2 P-2PCh-2 P-3PCh-2 P-4PCh-2 P-5PCh-2 P-6PCh-2 P-7PCh-2 P-8PCh-2 P-9PCh-2 P-10PCh-2 P-11PCh-2 P-12PCh-2 P-13PCh-2 P-14P

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