Answered: a) The domain of f(x) is [-4, –2) U(-2,…

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a) The domain of f(x) is [-4, –2) U(-2, 4] b) The range of f(x) is (-3, 2) c) lim f(r) = 2 -2- d) lim f(x) = -3 -2+

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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Question

Use the diagram below to sketch a graph of a function y = f(x) with the following properties (make sure the graph is clearly drawn so these features are present):

(please see the attached image, thank you so much.)

a) The domain of f(x) is [-4, –2) U(-2, 4]
b) The range of f(r) is (-3, 2)
c) lim f(r) = 2
I-2-
d) lim f(r) = -3
1-2+
e) f(x) has a removable discontinuity at r = 0 with lim f(r) = -1
f) f(x) is discontinuous at r = 3

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