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Pre- Calc Unit 2

Pre- Calc Unit 2. FUNCTIONS & Graphs http://math-b.hyde.wikispaces.net / http://rechneronline.de/function-graphs / http://graph.seriesmathstudy.com /. Do Now Graph the line that goes thru (2.5, 4) and (3.7, 5) In Class define “Function,” “Domain,” and “Range”

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Pre- Calc Unit 2

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  1. Pre-CalcUnit 2 FUNCTIONS & Graphs http://math-b.hyde.wikispaces.net/ http://rechneronline.de/function-graphs/ http://graph.seriesmathstudy.com/

  2. Do Now • Graph the line that goes thru (2.5, 4) and (3.7, 5) • In Class • define “Function,” “Domain,” and “Range” • Demonstrate the vertical line test • Use function notation • Show 3 example of Rate of Change formula • pp: 114 - 117 • #s: 9, 15, 23, 35, 99 • HOMEWORK: • pp: 114 - 117 • #s: 10, 16, 24, 36, 48, 58, 68, 71, 90, 100 http://www.analyzemath.com/DomainRange/DomainRange.html Finding DOMAIN - RANGE • Pre-Calc TUTORIALS Good Web pages • http://www.analyzemath.com/PrecalculusTutorials.html • http://www.analyzemath.com/DomainRange/domain_range_functions.html Unit 2 Lesson one: 2.1 Functions

  3. Do Now: • Find the Domain and Range of f(x) = 1 / (x – 2) • In Class • Go to page xix and xx and interpret SIX basic function graphs • Describe 3 types of piecewise functions • Demonstrate the understand of the concepts of “Increasing,” “Decreasing,” and “Constant” • HOMEWORK: • pp: 114-117 • #s: 32, 42, 54, 66, 72, 78, 82, 86, 91 • Identify Basic Graphs and match to their equation • http://www.analyzemath.com/Graph1/GraphFunctionsTutorials.html Unit 2 Lesson two: More Functions: 2.1

  4. Do Now: Graph the piece wise function: • [-10, 0] f(x) = 3x+2 • [2, ∞] f(x) = x2 +4 • In Classlook on page xix and xx • Graph Square and Square Root functions • Graph Cube and Cube Root functions • Graph Parabola and Semi Circle • Graph special “Weird” functions Piecewise and Greatest Integer • pp: 126 -127 • #s:15 – 25 ODD • 31 – 41 ODD • HOMEWORK: • pp: 126 -127 • #s:15 – 25 ALL • 33 – 37 ALL • 47 – 53 ODD Graphs of Functions and Algebra - Interactive Tutorials http://www.analyzemath.com/precalculus.html Unit 2 Lesson three: Oct 5Graphs of Functions 2.2

  5. Do Now: • pg 126 For Thought 1-9 ODD • In Class: • Pp:128 – 129 • 63,65,67,69 • HOMEWORK: • Pp:128 – 129 • 63,65,67,69, 81 – 84 ALL • (H) 73-77 ODD, 85 • Graph Square and Square Root functions • Graph Cube and Cube Root functions • Graph Parabola and Semi Circle • Graph special “Weird” functions Piecewise and Greatest Integer • Pg xix & xx • Page: 179 - 180 Unit 2 Lesson four: more graphs Oct 4 Graphs of Functions and Algebra - Interactive Tutorials http://www.analyzemath.com/precalculus.html

  6. Do Now: • Page 128 #67 • In Class: • pp: 142-143 • #s: 5, 17, 25, 31, 35, 45 • HOMEWORK: • pp: 142-143 • #s: 5,7, 17, 18 25, 28, 31, 35, 37, 45 • (H) 19-24 ALL Unit 2 Lesson 5: Translations of Graphs OCT 11 • TRANSLATIONS of FUNCTIONS • http://rechneronline.de/function-graphs/ • INVERSE FUNCTIONS • http://www.analyzemath.com/inversefunction/Tutorials.html

  7. Do Now: • Graph • f(x) = (x^3) • f(x) = x^{1/3} • In Class: • pp: 144-145 • #s: 71-79 ODD • HOMEWORK: • pp: 144-145 • #s: 71-79 all, 93,95, • (H) 96, 97 Unit 2 Lesson six: Translations of Graphs OCT 13 • TRANSLATIONS of FUNCTIONS • http://rechneronline.de/function-graphs/ • INVERSE FUNCTIONS • http://www.analyzemath.com/inversefunction/Tutorials.html

  8. Do Now: • Graph: • f(x) = x2 • f(x) = x2+ 2 • f(x) = (x-3)2 • In Class: • page 147 &149 definitions • Define • “Sum Functions,” • “Difference Functions,” • “Product Functions,” and “Quotient Functions” • Composition of functions • HOMEWORK: • pp:153 • #s: 1, 5, 17, 21, 29, 35, 49, 61 71, 79 • #7a:pp169 - 170 • 87, 91,93, Unit 2 Lesson 7: Operations with Functions 2.4 Oct 14 Compositions of functions f(x) and g(x)  f ° g(x) = f([g(x)] http://www.analyzemath.com/CompositionFunction/CompositionTest.html

  9. Do Now • Page 153 #29 • In Class: • define “Variation” and “Proportionality” • direct variation pp 172 -173 • inverse variation • joint variation • combined variation • HOMEWORK: • pp: 176 - 177 • #s: 3, 11, 17, 19, 23, 27, 33, 37, 41, 43 • http://www.analyzemath.com/Graph-Basic-Functions/Graph-Basic-Functions.html • http://www.analyzemath.com/precalculus.html Unit 2 Lesson Eight: Oct 172.6 Constructing Functions with Variation

  10. Do Now • In Class • HOMEWORK: Unit 2 Lesson one

  11. Do Now • In Class • HOMEWORK: Unit 2 Lesson one

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