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+8 if x < 0 if 0 sxs 1 if x > 1 f(x) = 4-x (smaller value) continuous from the right continuous from the left neither (larger value) continuous from the right continuous from the left neither ch the graph of f. f(x) f(x)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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.
if x < 0
if 0 ≤ x ≤ 1
if x > 1
f(x) = ex
x+8
4-x
O continuous from the right
O continuous from the left
O neither
-10
(smaller value)
(larger value)
O continuous from the right
O continuous from the left
O neither
O
Sketch the graph of f.
10h
FA
5
10
-5
-5
-5
f(x)
10
-10-
f(x)
10
-5
-10h
5
10
-10
-5
f(x)
-10
0
5
10
10
X
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. if x < 0 if 0 ≤ x ≤ 1 if x > 1 f(x) = ex x+8 4-x O continuous from the right O continuous from the left O neither -10 (smaller value) (larger value) O continuous from the right O continuous from the left O neither O Sketch the graph of f. 10h FA 5 10 -5 -5 -5 f(x) 10 -10- f(x) 10 -5 -10h 5 10 -10 -5 f(x) -10 0 5 10 10 X X
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