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Bell Work for Quarter I … listed in reverse order.

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Presentation on theme: "Bell Work for Quarter I … listed in reverse order."— Presentation transcript:

1 Bell Work for Quarter I … listed in reverse order

2 Essential Question(s) September 25, 2013 How do we use vertical asymptotes, horizontal asymptotes, and holes in the graph to sketch the graph of a function?

3 Vol. I No. 14B September 25, 2013

4 Essential Question(s) September 24, 2013 How do we use vertical asymptotes, horizontal asymptotes, and holes in the graph to sketch the graph of a function?

5 Vol. I No. 14B September 24, 2013 Make a sketch of each function without a calculator

6 Vol. I No. 14B September 24, 2013

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8

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10 Make a sketch of each function with a calculator Identify: a) VA b) HA c) hole(s)

11 Vol. I No. 14B September 24, 2013

12 VA: HA: hole(s):

13 Vol. I No. 14B September 24, 2013

14 VA: HA: hole(s):

15 Vol. I No. 14H Section 1.5 (Infinite Limits) Page 88: 1, 3, 7, 15, 19, 28, 33, 37, 39, 41, 43, 45, 47, 49, 51, 53, 61, 64, 68 15

16 Vol. I No. 15H Section 3.5 (Limits at Infinity) Page 205: 9, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 43, 57, 62, 63, 64, 71 16

17 Essential Question(s) How do we find vertical asymptotes? How do we find horizontal asymptotes?

18 Vol. I No. 13B September 23, 2013

19 As x approaches infinity Limits at Infinity

20 September 23, 2013

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23 As x approaches c

24 September 23, 2013

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30 September 19, 2013

31 As x approaches infinity

32 September 19, 2013

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35 As x approaches c

36 September 19, 2013

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44 Need to Know for Test Find limit as x approaches a value Find left limit Find right limit Find points of discontinuity Find Vertical Asymptotes Find Horizontal Asymptotes Find when a function is continuous Function Analysis

45 Sketch the graph of a function Discuss a function without a graph Discuss a function with a graph Squeeze Theorem Special Limits Identify types of discontinuities – From graph – From equation Do calculations from graph

46 Difference between DNE and Need to Know for Test

47 Work Vol. I No. 12H Page 88: 37 – 47 (odd)

48 Vol. I No. 11B September 18, 2013

49

50

51 The Squeeze Theorem

52 This theorem concerns the limit of a function that is squeezed between two other functions, each of which has the same limit at a given x-value, as shown in Figure 1.21 The Squeeze Theorem

53 Figure 1.21

54 Squeeze Theorem is also called the Sandwich Theorem or the Pinching Theorem. The Squeeze Theorem

55

56 Find

57

58 Vol. I No. 11H Page 67: (odd); 49 – 63 (odd); 65 – 75 (odd)

59 At what point(s) is NOT continuous? Vol. I No. 10B September 17, 2013

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61 Which condition fails?

62

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64 Continuity (AB) 1 At what point(s) is g(x) NOT continuous?

65 Continuity (AB) 2 At what point(s) is NOT continuous?

66 Continuous at x = 1 Not Continuous at x = 1 Not Continuous at x = 1 Continuous at x = 1

67 Vol. I No. 9H Page 78:3, 5, 7, 9, 15, 17, 18, 19, 20, 33, 39, 43, 47, 49, 51, 53, 63, 65, 67, 75, 98

68 Vol. I No. 9B Find the limit

69 EQ September 16, 2013 How do you show that a function is continuous at a point?

70 Vol. I No. 9 (Notes) September 16, 2013

71 What is Continuity at a Point? This function is continuous for all values of x

72 Continuous or Not? This function is continuous for all values of x except at x=2

73 Continuous or Not? This function is continuous for all values of x except for x = -2

74 Continuous or NOT? This function is continuous for all values of x except for x = 1

75 Definition of Continuity A function is continuous at if all of the following conditions are true:

76 At what point(s) is NOT continuous? Vol. I No. 10B

77

78 Which condition fails?

79

80

81 Continuity (AB) 1 At what point(s) is g(x) NOT continuous?

82 Continuity (AB) 2 At what point(s) is NOT continuous?

83 Vol. I No. 9H Page 78:3, 5, 7, 9, 15, 17, 18, 19, 20, 33, 39, 43, 47, 49, 51, 53, 63, 65, 67, 75, 98

84 EQ: How do we score an AP-Style Problem? September 13, 2013 Vol. I No. 8( )

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91 (a)+1 (b)+4 (c)+4 9

92 Vol. I No. 8 ( ) Page AP1 (after p. 94): 1 – 10 Work as a team of 2, 3, or 4

93 EQ September 9, 2013 How do you find the limit … … Graphically? … Numerically? … Analytically? … Verbally?

94 Vol. I No. 7B Evaluate Graphically, Numerically, Analytically, Verbally

95 EQ September 5-6, 2013 How do you find the limit at a given point … … Graphically? … Numerically? … Analytically? … Verbally?

96 Evaluate Graphically

97 Evaluate Numerically

98 Evaluate Analytically

99 EQ September 4, 2013 What is a limit and how do we find it?

100 Evaluate

101 EQ September 3, 2013 How do we describe the behavior of functions?

102 Vol. I No. 4G (AB) August 29, 2013 Complete discussion criteria 1 – 13 and 20 for the function. Note: Bring Calculus Book Tomorrow … and every day this week

103 Vol. I No. 3G (AB) (August 28, 2013) Make a careful graph of the graph of the following function on your paper. Complete discussion criteria 1 – 13 and 20 for the function. Note: Bring Calculus Book Tomorrow … and every day this week

104 Vol. I No. 4G (BC) (August 28, 2013 ) Make a careful graph of the graph of the following function on your paper. Complete discussion criteria 1 – 13 and 20 for the function. Note: Bring Calculus Book Tomorrow … and every day this week

105 Vol. I No. 2G (August 27, 2013 ) Make a careful graph of the graph of the following function on your paper. Complete the discussion criteria for each function. Note: Bring Calculus Book Tomorrow … and every day this week

106 Vol. I No. 1G (August 26, 2013 ) Make a careful graph of each of the following functions on the paper provided.


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