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Linear Functions
    Lesson 1
Cartesian Plane
            Vocabulary Review
•   Coordinate System
•   Origin
•   X-Axis
•   Y-Axis                             II            I
•   X-Coordinate
•   Y-Coordinate                                         3

•   Ordered Pair
•   Relation
•   Graph
                              (1,0)
                              (2,-1)    III   -2   IV(3,-2)
                              (3,-2)
•   Quadrants                 (4,-3)
How do we organise our coordinate plane?

Scale?


Look at the function first
Graphing Linear Functions
                             2y - 6x = 4 -1 ≤ x ≤ 3
1.   Put Function in form y = 3x + 2
2.   Choose Scale
3.   Draw and Label the Axes Neatly and Indicate Scale
4.   Calculate and Tabulate Coordinates
5.   Draw the graph Neatly to fill the axes
6.   label Graph                         Y          y = 3x + 2


          X    Y                          11
                                      10
          -1   -1

          0    2

                                               2
          3    11                          0
                                               -1
                                     -1                3         X
2x + 2y = 10




3x = 4y + 8

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Linear functions 1

  • 1. Linear Functions Lesson 1
  • 2. Cartesian Plane Vocabulary Review • Coordinate System • Origin • X-Axis • Y-Axis II I • X-Coordinate • Y-Coordinate 3 • Ordered Pair • Relation • Graph (1,0) (2,-1) III -2 IV(3,-2) (3,-2) • Quadrants (4,-3)
  • 3. How do we organise our coordinate plane? Scale? Look at the function first
  • 4. Graphing Linear Functions 2y - 6x = 4 -1 ≤ x ≤ 3 1. Put Function in form y = 3x + 2 2. Choose Scale 3. Draw and Label the Axes Neatly and Indicate Scale 4. Calculate and Tabulate Coordinates 5. Draw the graph Neatly to fill the axes 6. label Graph Y y = 3x + 2 X Y 11 10 -1 -1 0 2 2 3 11 0 -1 -1 3 X
  • 5. 2x + 2y = 10 3x = 4y + 8