FUNCTIONS
1. RELATIONS
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A. CARTESIAN PRODUCT AND ANALYTIC PLANE
1. Ordered Pairs
2. Set Notation
3. Cartesian Product
4. Analytic Plane
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B. RELATIONS
1. Representation of a Relation
2. Inverse of a Relation
–Activity: The Game of Battleship
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2. INTRODUCTION TO FUNCTIONS
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A. DEFINING A FUNCTION
1. Definition
-Finding Results for The Piece-wise Defined Function Vid 1 ,
2. Applied Problems
3. Graph of a Function
4. Domain of a Function
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B. PROPERTIES OF FUNCTIONS
1. Equal Functions
2. Even and Odd Functions
3. Increasing, Decreasing and Constant Functions
4. Reading Graph of a Function
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3. OPERATIONS ON FUNCTIONS
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A. BASIC OPERATIONS
B. COMPOSITION OF FUNCTIONS Vid 1 ,
C. INVERSE OF A FUNCTION
1. One-to-one Functions
2. Definition for The Inverse of a Function
3. Finding The Inverse of a Function Vid 1 ,
-Finding Results for The Inverse of a Function Vid 1 ,
–Activity: Cryptography
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4. PLOTTING GRAPHS OF FUNCTIONS
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A. TRANSFORMATION OF GRAPHS
1. Vertical Shift
2. Horizontal Shift
3. Reflection
4. Vertical Stretch and Shrink
5. Horizontal Stretch and Shrink
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B. GRAPHS OF ELEMENTARY FUNCTIONS
1. Functions of the Form y = xn, n Î N
2. Functions of the Form
3. Functions of the Form y = 1/ xn , n Î N
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C. (OPTIONAL) GRAPHS OF SPECIAL FUNCTIONS
1. Piecewise Defined Functions
2. Absolute Value Function
–Activity: Tessellations