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please answer question #12 and 20 only, thank you. Please provide the work.sy
< 0. b-a function. Minimum and man extrema Critical values are trema. The First- ical value as a re or neither minimum all x in I, the slope of the tangent line at x is positive; A function f is increasing over an open interval I if, for that is, f'(x) > 0. Similarly, a function fis decreasing
e initial
graph
ve maximum
Using the fMax
2.1
Exercise Set
Find any
relative extrema of each function. List each extremum
along with the x-value at which it occurs. Then sketch a graph of
the function.
ion at
5. F(x) = 0.5×2 + 2x – 11

· 70. g
29. g(x) =
1. f(x) = x2 + 6x – 3
2. f(x) = x2 + 4x + 5
31. f(x) =
3. f(x) = 2 – 3x – 2×2
4. f(x) = 5 – x – x?
33. g(x) =
6.
· g(x) = 1 + 6x + 3x
7. g(x) = x3 + 3×2 – 2x + 5
AJ 35-68. C
8. G(x) = x – x2 – x + 2
For Exerc
9. f(x) = x3 – 3×2
given. An
10. f(x) = x3 – 3x + 6
11. f(x) = x3 + 3x
69. f
12. f(x) = 3×2 + 2x?
(2
13. F(x) = 1 – x3
14. g(x) = 2×3 – 16
15. G(x) = x3 – 6×2 + 10
71.
16. f(x) = 12 + 9x – 3×2 – x3
17. g(x) = x3 – x4
18. f(x) = x4 – 2×3
72
19. f(x) = 3×3 – 2×2 + 4x – 1
20. F(x) = -3×3 + 3×2 – 9x + 2
7
21. f(x) = 3×4 – 15×2 + 12 22. g(x) = 2x+ – 20×2 + 18
23. G(x) = Vx + 2
24. F(x) = Vx-1
25. f(x) = 1 – x2/3
26. f(x) = (x + 3)2/3 – 5
-8
5
27. G(x)
x2 + 1
28. F(x) = 3 + 1
x2 + 1

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