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 + 6 f(x) = ex X if x < 0 if 0 ≤ x ≤ 1 if x > 1 3-x (smaller value) x = 0 Is f continuous from the right, left, or neither at this value? O continuous from the right O continuous from the left neither (larger value) Is f continuous from the right, left, or neither at this value? O continuous from the right O continuous from the left O neither X

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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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 + 6
ex
3 - X
(smaller value)
Is f continuous from the right, left, or neither at this value?
continuous from the right
continuous from the left
X = 0
O
O
neither
X = 1
f(x) =
neither
if x < 0
if 0 ≤ x ≤ 1
if x > 1
=
(larger value)
Is f continuous from the right, left, or neither at this value?
continuous from the right
continuous from the left
X
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 + 6 ex 3 - X (smaller value) Is f continuous from the right, left, or neither at this value? continuous from the right continuous from the left X = 0 O O neither X = 1 f(x) = neither if x < 0 if 0 ≤ x ≤ 1 if x > 1 = (larger value) Is f continuous from the right, left, or neither at this value? continuous from the right continuous from the left X
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