Find each x-value at which f is discontinuous and for each x-value, determine whether f is continuous from the right, or from the left, or neither. if x s1 if 1

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.5: Inverse Functions
Problem 6SC: Find the inverse of f when its domain is restricted to the interval 0,. fx=x2+3
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Find each x-value at which f is discontinuous and for each x-value, determine whether f is continuous from the right, or from the left, or neither.
x +1
if x s1
(x) = { 1/x
Vx - 3
if 1 <x < 3
if x z 3
|(smaller value)
O continuous from the right
O continuous from the left
O neither
(larger value)
O continuous from the right
O continuous from the left
O neither
Sketch the graph of f.
f(x)
f(x)
6
4
4
2
4.
6
-2
4
-2h
f(x)
f(x)
6
6
4
4
2
4
6
Transcribed Image Text:Find each x-value at which f is discontinuous and for each x-value, determine whether f is continuous from the right, or from the left, or neither. x +1 if x s1 (x) = { 1/x Vx - 3 if 1 <x < 3 if x z 3 |(smaller value) O continuous from the right O continuous from the left O neither (larger value) O continuous from the right O continuous from the left O neither Sketch the graph of f. f(x) f(x) 6 4 4 2 4. 6 -2 4 -2h f(x) f(x) 6 6 4 4 2 4 6
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