x+2 %3D xa+8 5. a) Find the points of discontinuity of f(x) b) Find the vertical asymptotes of f(x) =: x+2 c) Sketch the graph and show the points of discontinuity on the graph.

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
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Page <
3
of 3
ZOOM
+
-
6.
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 + 3
if x < 0
f(x) =
ex
if 0 s x s 1
8 - x
if x > 1
X =
(smaller value)
continuous from the right
continuous from the left
O neither
X =
(larger value)
continuous from the right
continuous from the left
neither
Sketch the graph of f.
7.
Find the limit. (Let c and d represent arbitrary real numbers. If an answer does not exist, enter DNE.)
Transcribed Image Text:Page < 3 of 3 ZOOM + - 6. 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 + 3 if x < 0 f(x) = ex if 0 s x s 1 8 - x if x > 1 X = (smaller value) continuous from the right continuous from the left O neither X = (larger value) continuous from the right continuous from the left neither Sketch the graph of f. 7. Find the limit. (Let c and d represent arbitrary real numbers. If an answer does not exist, enter DNE.)
Page <
2
of 3
ZOOM
+
-
x+2
5.
a) Find the points of discontinuity of f (x) =
x3+8
x+2
b) Find the vertical asymptotes of f (x)
x3+8
c) Sketch the graph and show the points of discontinuity on the graph.
-4
-3+
-5+
Transcribed Image Text:Page < 2 of 3 ZOOM + - x+2 5. a) Find the points of discontinuity of f (x) = x3+8 x+2 b) Find the vertical asymptotes of f (x) x3+8 c) Sketch the graph and show the points of discontinuity on the graph. -4 -3+ -5+
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