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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