et f(x) = x² and let e > 0 be given. a) Find d so that |x – 1| < 8 implies |f(x) – f(1)|< e. 5) Find 8 so that |x – 2| < 8 implies |f(x) – f (2)| < e.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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Help with A and B please

Let f(x) = x² and let e > 0 be given.
(a) Find d so that |x – 1| < 6 implies |f(x) – f(1)| < e.
-
(b) Find d so that |x – 2| < 8 implies |f(x) – f(2)| < e.
(c) If n > 2 and you had to find a d so that |x – n| < 8 implies |f(x) – f(n)| < €, would 8
be larger or smaller than the 8 for parts (a) and (b)Why?.
Transcribed Image Text:Let f(x) = x² and let e > 0 be given. (a) Find d so that |x – 1| < 6 implies |f(x) – f(1)| < e. - (b) Find d so that |x – 2| < 8 implies |f(x) – f(2)| < e. (c) If n > 2 and you had to find a d so that |x – n| < 8 implies |f(x) – f(n)| < €, would 8 be larger or smaller than the 8 for parts (a) and (b)Why?.
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