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Chapter 1: Q. 14 (page 97)

Suppose f is a function with f(2) = 5 where for all 系> 0, there is some 未 > 0 such that if x 鈭� (2 鈭� 未, 2) 鈭� (2, 2 + 未), then f(x) 鈭� (3 鈭� 系, 3 + 系). Sketch a possible graph of f.

Short Answer

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We have to sketch a graph of f where f is a function with f(2) = 5 where for all 系> 0, there is some 未 > 0 such that if x 鈭� (2 鈭� 未, 2) 鈭� (2, 2 + 未),

Step by step solution

01

Step 1. Given information.

We have to sketch a graph of f where f is a function with f(2) = 5 where for all 系> 0, there is some 未 > 0 such that if x 鈭� (2 鈭� 未, 2) 鈭� (2, 2 + 未),

02

Step 2. Sketch a graph.

One possible graph of given conditions is :

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Most popular questions from this chapter

State what it means for a function f to be right continuous at a point x = c, in terms of the delta鈥揺psilon definition of limit.

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