Shown below are six statements about functions. Match each statement to one of the functions shown below which BEST matches that statement. 1. limx→7+ f(x) and limx→7- f(x) both exist and are finite, but they are not equal. 2. The graph of y = f(x) has vertical tangent line at (7, ƒ(7)) 3. lim 7 f(x) = -∞o. 4. limx→7+ f(x) exists but limx→7- f(x) does not. 5. limx→7 f(x) = ∞0. 6. lim→7 f(x) exists but f is not continuous at 7. A. f(x) = B. f(x) = cos (¹7) 0 F. f(x) = 2x + 28 2x 0 28 (x-7)² c. f(x) = D. f(x)=√x-7 E. f(x) = 1 x-7 2x 0 2x 2x if x <7 if x = 7 if x > 7 if x < 7 if x = 7 if x>7 if x < 7 if x = 7 28 if x > 7
Shown below are six statements about functions. Match each statement to one of the functions shown below which BEST matches that statement. 1. limx→7+ f(x) and limx→7- f(x) both exist and are finite, but they are not equal. 2. The graph of y = f(x) has vertical tangent line at (7, ƒ(7)) 3. lim 7 f(x) = -∞o. 4. limx→7+ f(x) exists but limx→7- f(x) does not. 5. limx→7 f(x) = ∞0. 6. lim→7 f(x) exists but f is not continuous at 7. A. f(x) = B. f(x) = cos (¹7) 0 F. f(x) = 2x + 28 2x 0 28 (x-7)² c. f(x) = D. f(x)=√x-7 E. f(x) = 1 x-7 2x 0 2x 2x if x <7 if x = 7 if x > 7 if x < 7 if x = 7 if x>7 if x < 7 if x = 7 28 if x > 7
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. limx→7+ f(x) and limx→7- f(x) both exist and are finite, but they are not equal.
2. The graph of y = f(x) has vertical tangent line at (7, ƒ(7))
3. lim 7 f(x) = -∞o.
4. limx→7+ f(x) exists but limx→7- f(x) does not.
5. limx→7 f(x) = ∞0.
6. lim→7 f(x) exists but f is not continuous at 7.
A. f(x) =
B. f(x) =
cos (¹7)
0
F. f(x) =
2x + 28
2x
0
28
(x-7)²
c. f(x) =
D. f(x)=√x-7
E. f(x) =
1
x-7
2x
0
2x
2x
if x <7
if x = 7
if x > 7
if x < 7
if x = 7
if x>7
if x < 7
if x = 7
28 if x > 7
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