Sketch the following curves. 33. y = 2x + 3x2 + 1 %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 32E
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Asap slove 33, 37, 41
800
400
0 10 20 30 40 50 60 70 80 90
(1900)
(a)
Figure 5 U.S. electrical energy production.
Sketch the following parabolas. Include their x- and y-intercepts.
4°
23. y = 3 – x2
24. y = 7+ 6x - x2
25. y = x + 3x - 10
26. y = 4 + 3x - x²
27. y = -2x2 + 10x – 10
28. y = x? - 9x + 19
29. y = x² + 3x +2
31. y = -x2 + 20x – 90
30. y = -x² + 8x – 13
48
32. y = 2x2 + x - 1
%3D
Sketch the following curves.
33. y = 2x3 + 3x2 +1
34. y = x - - 6x
49
35. y = x - 3x2 + 3x - 2
36. y = 100 + 36x - 6x2 - x
37. y = 4 + 3x – x² -
39. y = -x3 - 2x² - 5x
38. y = x - 3x2 – 9x +7
Inf
40. y x- 6x² - 15x+50
41. y = x- 2x2
42. y = x - 4x3
43. y=3 x
20
+3 (x>0)
+ 2x + 1(x>0)
2.x
44. y =
5.
45. Let f(x) = (x2 + 2)3/2, Show that the graph of f(x) has a
possible relative extreme point at x = 0.
Des
46. Show that the function f(x) = (2x2 + 3)/2 is decreasing for
X<0 and increasing for x> 0.
Transcribed Image Text:800 400 0 10 20 30 40 50 60 70 80 90 (1900) (a) Figure 5 U.S. electrical energy production. Sketch the following parabolas. Include their x- and y-intercepts. 4° 23. y = 3 – x2 24. y = 7+ 6x - x2 25. y = x + 3x - 10 26. y = 4 + 3x - x² 27. y = -2x2 + 10x – 10 28. y = x? - 9x + 19 29. y = x² + 3x +2 31. y = -x2 + 20x – 90 30. y = -x² + 8x – 13 48 32. y = 2x2 + x - 1 %3D Sketch the following curves. 33. y = 2x3 + 3x2 +1 34. y = x - - 6x 49 35. y = x - 3x2 + 3x - 2 36. y = 100 + 36x - 6x2 - x 37. y = 4 + 3x – x² - 39. y = -x3 - 2x² - 5x 38. y = x - 3x2 – 9x +7 Inf 40. y x- 6x² - 15x+50 41. y = x- 2x2 42. y = x - 4x3 43. y=3 x 20 +3 (x>0) + 2x + 1(x>0) 2.x 44. y = 5. 45. Let f(x) = (x2 + 2)3/2, Show that the graph of f(x) has a possible relative extreme point at x = 0. Des 46. Show that the function f(x) = (2x2 + 3)/2 is decreasing for X<0 and increasing for x> 0.
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