   Chapter 14, Problem 4RCC

Chapter
Section
Textbook Problem

(a) What does it mean to say that f is continuous at (a, b)?(b) If f is continuous on ℝ2, what can you say about its graph?

(a)

To determine

To describe: The meaning of f(x) is continuous at (a,b) .

Explanation

Consider the function, f(x) on the interval (a,b) .

Let x0 be the arbitrary variable in (a,b) . If the function f(x) satisfies the below three conditions then the function f(x) is continuous on (a,b) .

Condition 1:

The function f(x) is defined at the point x0

(b)

To determine

To describe: The nature of the graph f , if f is continuous on 2 .

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