   Chapter 2.5, Problem 3E

Chapter
Section
Textbook Problem

(a) From the graph of f , state the numbers at which f is discontinuous and explain why.(b) For each of the numbers stated in part (a), determine whether f is continuous from the right, or from the left. or neither. (a)

To determine

To state: The numbers at which f is discontinuous from the graph.

Explanation

Definition used: “A function f is continuous at a number a if limxaf(x)=f(a)”.

Note 1: “If f is defined near a, f is discontinuous at a whenever f is not continuous at a

(b)

To determine

Whether f is continuous from the right, or from the left, or neither at the numbers −4, −2, 2 and 4.

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