1. dom(f)] 0,3[U] 3,00[ 2. Important limits lim f(x) = -2. 81←8 lim f(x) = -∞. xx lim f(x) = -∞. x-3- lim f(x) = -3. x-3+ 3. 4. 34 No need Important points (and signs of derivatives): o f'(x) Is not defined when: o f'(x) = 0 When: x = 2. o f'(x) < 0 Out of 2, 3[U]4, x=3 And x = 4. [. f'(x) > 0. On 1-∞, 2[U]3, 4[. o f"(x) Is not defined when: of"(x) = 0 'When: x = 0. o f(x) < Out of 10, 3[. x = 3 x= 4. of"(x) > 0 On ]-∞, 0[ U ]3, 4[ U ]4, ∞[.
1. dom(f)] 0,3[U] 3,00[ 2. Important limits lim f(x) = -2. 81←8 lim f(x) = -∞. xx lim f(x) = -∞. x-3- lim f(x) = -3. x-3+ 3. 4. 34 No need Important points (and signs of derivatives): o f'(x) Is not defined when: o f'(x) = 0 When: x = 2. o f'(x) < 0 Out of 2, 3[U]4, x=3 And x = 4. [. f'(x) > 0. On 1-∞, 2[U]3, 4[. o f"(x) Is not defined when: of"(x) = 0 'When: x = 0. o f(x) < Out of 10, 3[. x = 3 x= 4. of"(x) > 0 On ]-∞, 0[ U ]3, 4[ U ]4, ∞[.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
8.
Explain & show your steps.
a) Use the following information to build the sign table and draw the graph of the f(x) function.
5. 2 points Build the large sign table with the information in step 4.
6. Orders of important points:
• f(0) = 0.
• f (2) = 2.
• f(2.5) = 0.
• f (4) = 0.
7. [2 points] Build the graph of f(x) with steps 1, 2 and 5.
b)
B) [1 point] Choose the statement below that is false.
• f(x) has an inflection point.
• f(x) has a vertical asymptote.
• x= 2 is a
• f(x) has a horizontal asymptote.
• f(x) has a hole (empty point).
•X= 4 is a
![1.
dom(f)] 0,3[U] 3,00[
2.
Important limits
lim f(x) = -2.
81←8
lim f(x) = -∞.
xx
lim f(x) = -∞.
x-3-
lim f(x) = -3.
x-3+](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0e0b636c-084d-4336-93b6-e9af0376f248%2F0d50f33d-490e-4162-bc3d-8ff867395132%2Fmneqg3j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1.
dom(f)] 0,3[U] 3,00[
2.
Important limits
lim f(x) = -2.
81←8
lim f(x) = -∞.
xx
lim f(x) = -∞.
x-3-
lim f(x) = -3.
x-3+
![3.
4.
34
No need
Important points (and signs of derivatives):
o f'(x)
Is not defined when:
o f'(x) = 0 When: x = 2.
o f'(x) < 0 Out of 2, 3[U]4,
x=3 And x = 4.
[.
f'(x) > 0. On 1-∞, 2[U]3, 4[.
o f"(x)
Is not defined when:
of"(x) = 0 'When: x = 0.
o f(x) < Out of 10, 3[.
x = 3
x= 4.
of"(x) > 0 On ]-∞, 0[ U ]3, 4[ U ]4, ∞[.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0e0b636c-084d-4336-93b6-e9af0376f248%2F0d50f33d-490e-4162-bc3d-8ff867395132%2Fmqj3w4c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3.
4.
34
No need
Important points (and signs of derivatives):
o f'(x)
Is not defined when:
o f'(x) = 0 When: x = 2.
o f'(x) < 0 Out of 2, 3[U]4,
x=3 And x = 4.
[.
f'(x) > 0. On 1-∞, 2[U]3, 4[.
o f"(x)
Is not defined when:
of"(x) = 0 'When: x = 0.
o f(x) < Out of 10, 3[.
x = 3
x= 4.
of"(x) > 0 On ]-∞, 0[ U ]3, 4[ U ]4, ∞[.
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