Shown below are six statements about functions. Match each statement to one of the functions shown below which BEST matches that statement. 1. lim+6+ f(x) and limz 6- f(x) both exist and are finite, but they are not equal. 2. The graph of y = f(x) has vertical tangent line at (6, ƒ(6)) 3. lim 6- f(x) = -0. 4. limz+6+ f(x) exists but limx→6- f(x) does not. 5. limz 6 f(x) = ∞0. 6. limz 6 f(x) exists but f is not continuous at 6. A. f(x) = B. f(x) = if x < 6 if x = 6 24-2x if x>6 cos (¹6) if x < 6 if x = 6 D. f(x) = (2x 0 c. f(x) = 0 2x + 24 2x 0 2x24 E. f(x)= (-6) F. f(x)=√x-6 if x > 6 if x < 6 if x = 6 if x > 6 ING
Shown below are six statements about functions. Match each statement to one of the functions shown below which BEST matches that statement. 1. lim+6+ f(x) and limz 6- f(x) both exist and are finite, but they are not equal. 2. The graph of y = f(x) has vertical tangent line at (6, ƒ(6)) 3. lim 6- f(x) = -0. 4. limz+6+ f(x) exists but limx→6- f(x) does not. 5. limz 6 f(x) = ∞0. 6. limz 6 f(x) exists but f is not continuous at 6. A. f(x) = B. f(x) = if x < 6 if x = 6 24-2x if x>6 cos (¹6) if x < 6 if x = 6 D. f(x) = (2x 0 c. f(x) = 0 2x + 24 2x 0 2x24 E. f(x)= (-6) F. f(x)=√x-6 if x > 6 if x < 6 if x = 6 if x > 6 ING
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Shown below are six statements about functions. Match each statement to one of the functions shown below which BEST
matches that statement.
1. lim+6+ f(x) and limz 6- f(x) both exist and are finite, but they are not equal.
2. The graph of y = f(x) has vertical tangent line at (6, ƒ(6))
3. lim 6- f(x) = -0.
4. limz+6+ f(x) exists but limx→6- f(x) does not.
5. limz 6 f(x) = ∞0.
6. limz 6 f(x) exists but f is not continuous at 6.
A. f(x) =
B. f(x) =
if x < 6
if x = 6
24-2x
if x>6
(cos (¹6) if x < 6
if x = 6
D. f(x) =
(2x
0
c. f(x) = 0
2x + 24
2x
0
2x24
E. f(x)= (-6)
F. f(x)=√x-6
if x > 6
if x < 6
if x = 6
if x > 6
ENG
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