Ch 2 ReviewFri Oct 2
Do Now
Find the limit of each
1)
2)
HW Review: AP Questions #1-20
• 1) B 2) A• 3) C 4) D• 5) E 6) B• 7) E 8) B• 9) C 10) A• 11) C 12) A• 13) D 14) C• 15) B 16) B
• 17) D 18) E• 19) E 20) B
Intermediate Value Theorem
• Suppose f is continuous on the closed interval [a,b] and W is any number between f(a) and f(b). Then, there is a number c in [a,b] s.t.
• From every y on [f(a),f(b)], there must be a corresponding x value that takes it there.
Ch 2 Review 2.1-2.82.1 Average / Instantaneous Rate of Change
- Slope vs Left/Right hand Limit
2.2 Limits Using Graphs or Tables
- Reading a Graph or Table to Approx. Limit
2.3 Limit Laws
- Break up one limit into several
2.4 Limits and Continuity
- Making Piecewise Functions continuous
-
Ch 2 Review 2.5-2.82.5 Evaluating Limits Algebraically
- Factoring
- Multiplying by the Conjugate
- Combining Fractions
2.6 Trigonometric Limits
- Squeeze Theorem
- Using Substitution
2.7 Limits and Infinity
- Vertical Asymptotes
- Horizontal Asymptotes
HW Review Problems p.117-119#1, 5, 13, 17, 19, 21, 23, 33, 41, 49, 51, 53, 55, 57, 59, 61, 63, 65, 68, 69
Maybe look at AP questions again
ClosureJournal Entry: Your friend has no idea what a limit is and has to take a test on it. Describe what a limit is and represents in a paragraph.
HW Ch 2 AP FRQ 1-4
Ch 2 Test Tues Oct 6
HW Review1) A= .954m/s I = .894m/s 51) both at 0, neither at 2, 4
5) 1.50 53) at x = 0, infinite disc, LC
13) -1/2 55) jump and LC at -1
17) 2 57) b = 7, jump at -2
19) DNE 59) no horizontal asymptotes
21) infinity 61) y = 2
23) DNE 63) y = 1
33) 1/9 65) proof
41) infinity 68) true: C E F
49) 0 69) proof
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