(a) Suppose f is a function with domain the interval (a, b) with a < b. If f is an even funetion, what can be deduced about the connection between a and b? (b) (i) Give an example of an even function whose domain has exactly four elements. (ii) Give an example of an odd function whose domain has exactly three elements.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 56E
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1. (a) Suppose f is a function with domain the interval (a, b) with a < b. If f is an even function,
what can be deduced about the connection between a and b?
(b) (i) Give an example of an even function whose domain has exactly four elements.
(ii) Give an example of an odd function whose domain has exactly three elements.
Transcribed Image Text:1. (a) Suppose f is a function with domain the interval (a, b) with a < b. If f is an even function, what can be deduced about the connection between a and b? (b) (i) Give an example of an even function whose domain has exactly four elements. (ii) Give an example of an odd function whose domain has exactly three elements.
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