Instructions: graph an example of one even and one odd function f satisfying all of the following 5 conditions the domain of f is (-6,6) - note that this is an open interval, without the endpoints! This condition means, in particular, that f must have a value for every x E (-6, 6). lim f(x) = 3 x→0- • f(2) = 1 and f has a jump discontinuity at a = 2 lim f(x) = +∞ x→-6+ fis constant and positive on the interval [4,5]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 96E
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Instructions: graph an example of one even and one odd function f satisfying all of the following
5 conditions
the domain of f is (-6,6) - note that this is an open interval, without the endpoints! This
condition means, in particular, that f must have a value for every x E (-6, 6).
lim f(x) = 3
x→0-
• f(2) = 1 and f has a jump discontinuity at a = 2
lim f(x)
+00
x→-6+
fis constant and positive on the interval [4,5]
You must graph f together with its vertical asymptotes, if f happens to have such asymptotes.
Transcribed Image Text:Instructions: graph an example of one even and one odd function f satisfying all of the following 5 conditions the domain of f is (-6,6) - note that this is an open interval, without the endpoints! This condition means, in particular, that f must have a value for every x E (-6, 6). lim f(x) = 3 x→0- • f(2) = 1 and f has a jump discontinuity at a = 2 lim f(x) +00 x→-6+ fis constant and positive on the interval [4,5] You must graph f together with its vertical asymptotes, if f happens to have such asymptotes.
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