1. Consider the graph of f(x) shown in the figure. Investigate the continuity of f(x) at the following points where: a) x = 0 b) x = 1 c) x = 3 d) x = 4 e) x = - 1 and if it is discontinuous, identify what type of discontinuities. 2. Sketch the graph of g(x) and discuss the continuity and discontinuity at x = 2 x = 0 x = -2 x2, g(x) = Osxs2 -X, -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 17E
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Question
1 & 2
nessaged you
X +
Lesson 9
1.
Consider the graph of f(x) shown in the figure. Investigate the continuity of f(x) at the
following points where:
a) x = 0
b) x = 1
c) x = 3
d) x = 4
e) x = - 1
and if it is discontinuous, identify what type of discontinuities.
2. Sketch the graph of g(x) and discuss the continuity and discontinuity
at x = 2
X = 0
X = -2
x2
Osxs2
-X,
-2<xS0
g(x) =
-2,
XS-2
4-x, x22
Transcribed Image Text:nessaged you X + Lesson 9 1. Consider the graph of f(x) shown in the figure. Investigate the continuity of f(x) at the following points where: a) x = 0 b) x = 1 c) x = 3 d) x = 4 e) x = - 1 and if it is discontinuous, identify what type of discontinuities. 2. Sketch the graph of g(x) and discuss the continuity and discontinuity at x = 2 X = 0 X = -2 x2 Osxs2 -X, -2<xS0 g(x) = -2, XS-2 4-x, x22
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