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- 1. GRAPHS OF FUNCTIONS II MATHEMATICS Form 5 Chapter 2
- 3. General form:
- 4. General form:
- 5. General form:
- 6. 2.1 Understand and use the concept of graphs functions <ul><li>At the end of the lesson, students should be able to: </li></ul><ul><li>Draw the graph of </li></ul><ul><li>a) a linear function, where a and b are constant </li></ul><ul><li>b) a quadratic function, where a , b and c are constant </li></ul><ul><li>c) a cubic function, where a , b and c are constant </li></ul><ul><li>d) a reciprocal function, where a is constant and </li></ul>
- 7. Steps to draw a graph: <ul><li>Construct a table of values for a chosen range of x values. </li></ul><ul><li>Draw the x-axis and the y-axis and use a suitable scale for each axis starting from the origin. </li></ul><ul><li>Plot the x and y values as coordinate pairs on the Cartesian plane. </li></ul><ul><li>Join the points to form a straight line (using ruler) or a smooth curve (without using ruler). </li></ul><ul><li>Label the graph. </li></ul>
- 8. RECIPROCAL GRAPH General form: where a is a constant,
- 9. Example: <ul><li>Draw a graph for the function </li></ul><ul><li>for . </li></ul>ANSWER
- 10. Scale: 1 cm : 1 unit at x-axis 2 cm : 2 units at y-axis 1.5 2 3 6 12 -12 -6 -3 -2 -1.5 y 4 3 2 1 0.5 -0.5 -1 -2 -3 -4 x
- 11. Characteristics of reciprocal graphs: <ul><li>Reciprocal graphs consist of TWO different parts. </li></ul><ul><li>The shape of the graphs are known as HYPERBOLA. </li></ul>
- 12. WORKSHEET
- 13. Summary or or or or 1 2 3 -1 Reciprocal Cubic Quadratic Linear Shape of the function Highest power of variable x General form Types of function

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