Exercise Find the relative extrema and points of inflection of the function. List your answers in terms of ordered pairs. Use the Second-Derivative Test, where possible. Then sketch the graph. 1. f(x) = 2x² 2. f(x) = x²+x-1 3. f(x) = 2x³-3x² - 36x + 28 ④f(x)=3x³-36x - 3 f(x)=x³- 2x + ½ 6. f(x) = 80-9x² - x³ 7. f(x)=3x+- 16x3 + 18x² 8. f(x)=3x+4x³- 12x² + 5 9. f(x) = (x + 1)2/3 f(x) = x²-6x² 13. f(x) = 3x + 4x³ 15. f(x) = x³- 6x² - 135x 10. f(x) (x-1)2/3 f(x) = 2x²-x4 14. f(x) = x² - 2x³ 16. f(x) = x³-3x² - 144x - 140 X 17. f(x) = x² + 1 19. f(x) = (x - 1)³ 21. f(x) = x²(1-x)² 23. f(x) = 20x³-3x 25 f(x) = x√4-x² 27. f(x)=(x-1) 1/3 - 1 3 18. f(x) = 2+1 20. f(x) = (x+2)³ 22. f(x) = x²(3x)² 24. f(x) = 5x³- 3x5 26. f(x)=-xVI-x² 28. f(x)=2x1/3
Exercise Find the relative extrema and points of inflection of the function. List your answers in terms of ordered pairs. Use the Second-Derivative Test, where possible. Then sketch the graph. 1. f(x) = 2x² 2. f(x) = x²+x-1 3. f(x) = 2x³-3x² - 36x + 28 ④f(x)=3x³-36x - 3 f(x)=x³- 2x + ½ 6. f(x) = 80-9x² - x³ 7. f(x)=3x+- 16x3 + 18x² 8. f(x)=3x+4x³- 12x² + 5 9. f(x) = (x + 1)2/3 f(x) = x²-6x² 13. f(x) = 3x + 4x³ 15. f(x) = x³- 6x² - 135x 10. f(x) (x-1)2/3 f(x) = 2x²-x4 14. f(x) = x² - 2x³ 16. f(x) = x³-3x² - 144x - 140 X 17. f(x) = x² + 1 19. f(x) = (x - 1)³ 21. f(x) = x²(1-x)² 23. f(x) = 20x³-3x 25 f(x) = x√4-x² 27. f(x)=(x-1) 1/3 - 1 3 18. f(x) = 2+1 20. f(x) = (x+2)³ 22. f(x) = x²(3x)² 24. f(x) = 5x³- 3x5 26. f(x)=-xVI-x² 28. f(x)=2x1/3
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter8: Linear Functions
Section8.7: Function Notation
Problem 2E
Related questions
Question
#4, #11, #25
Transcribed Image Text:Exercise
Find the relative extrema and points of inflection of the
function. List your answers in terms of ordered pairs.
Use the Second-Derivative Test, where possible. Then
sketch the graph.
1. f(x) = 2x²
2. f(x) = x²+x-1
3. f(x) = 2x³-3x² - 36x + 28
④f(x)=3x³-36x - 3
f(x)=x³- 2x + ½
6. f(x) = 80-9x² - x³
7. f(x)=3x+- 16x3 + 18x²
8. f(x)=3x+4x³- 12x² + 5
9. f(x) = (x + 1)2/3
f(x) = x²-6x²
13. f(x) = 3x + 4x³
15. f(x) = x³- 6x² - 135x
10. f(x)
(x-1)2/3
f(x) = 2x²-x4
14. f(x) = x² - 2x³
16. f(x) = x³-3x² - 144x - 140
X
17. f(x)
=
x² + 1
19. f(x) = (x - 1)³
21. f(x) = x²(1-x)²
23. f(x) = 20x³-3x
25 f(x) = x√4-x²
27. f(x)=(x-1) 1/3 - 1
3
18. f(x) = 2+1
20. f(x) = (x+2)³
22. f(x) = x²(3x)²
24. f(x) = 5x³- 3x5
26. f(x)=-xVI-x²
28. f(x)=2x1/3
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