O O Determine the values of x, If any, at which the function is discontinuous. At each number where f is discontinuous, state the condition(s) for continuity that are violat 2-1 if a-1 f(x) = a +1 1 if -1 AY O The function f is discontinuous at r =-1 because f is not defined at r= -1. The function f is discontinuous at z =-1 because lim f (x) does not exist. -1" The function f is discontinuous at z =-1 because lim f (x) exists, but this limit is not equal tof(-1). O The function f is continuous everywhere because the three conditions for continuity are satisfied for all values of r.

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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44
Determine the values of x, if any, at which the function is discontinuous. At each number where f is discontinuous, state the condition(s) for continuity that are vlolated. (Select all thất appl
if #-1
f(z) =
r+1
1 if r=-1
n The function f is discontinuous at z =-1 because f is not defined at r =-1.
The function f is discontinuous at r =-1 because lim f (r) does not exist.
-1
The function f is discontinuous at r = -1 because lim f (z) exists, but this limit is not equal to f (-1).
The function f is continuous everywhere because the three conditions for continuity are satisfied for all values of r.
Additional Materials
O eBook
MacBook Air
D00
>>
000 FA
F8
F10
esc
F3
F5
F6
F7
F1
F2
23
&
3
6.
7
Transcribed Image Text:2 44 Determine the values of x, if any, at which the function is discontinuous. At each number where f is discontinuous, state the condition(s) for continuity that are vlolated. (Select all thất appl if #-1 f(z) = r+1 1 if r=-1 n The function f is discontinuous at z =-1 because f is not defined at r =-1. The function f is discontinuous at r =-1 because lim f (r) does not exist. -1 The function f is discontinuous at r = -1 because lim f (z) exists, but this limit is not equal to f (-1). The function f is continuous everywhere because the three conditions for continuity are satisfied for all values of r. Additional Materials O eBook MacBook Air D00 >> 000 FA F8 F10 esc F3 F5 F6 F7 F1 F2 23 & 3 6. 7
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