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Function and their graphs ppt

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This presentation is based on College Algebra Co

This presentation is based on College Algebra Co

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  • Function of statistics is entirely different from algebraical terms. Statistics is performing its functions in each sphere of life. Broader in its useability.
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  • 1. MATH-001Dr. Farhana ShaheenTHE CARTESIANCOORDINATE SYSTEM
  • 2. THE CARTESIAN COORDINATE SYSTEM We know that One dimensional numbers can be represented as points on a number line, and can be oriented either to the left (negative), or to the right (positive) of the origin (the zero point). Cartesian coordinates are just the natural extension of the number line into two (or three) dimensions. In the two dimensional case, we just use two number lines (or "axes"), called the x axis and y axis, at right angles to each other.
  • 3. CARTESIAN PLANES AND COORDINATES
  • 4. QUADRANTS IN CARTESIAN PLANES
  • 5. QUADRANTS
  • 6. POINTS IN CARTESIAN PLANE
  • 7. LINEAR EQUATIONS
  • 8. GRAPH OF LINEAR EQUATIONS Y = AX+B
  • 9. PARABOLA
  • 10. 2EQUATION OF PARABOLA y x 2Graph of y x
  • 11. 2 y x y xGRAPH OF
  • 12. DRAW THE PARABOLA
  • 13. PARABOLAS WITH DIFFERENT SHAPES
  • 14. PARABOLAS IN NATURE
  • 15. PARABOLAS IN LIFE
  • 16. PARABOLIC BUILDING
  • 17. RELATIONS ARE SET OF ORDERED PAIRS
  • 18. FUNCTIONSFunctions are relations, set of ordered pairs, in which the first elements are not repeated. For example: A= {(1, 3), (2, 5), (3, 4), (4, 7), (5, 2)}Note: B= {(1, 1), (2, -4), (2, 4), (3, 9), (3, -9)} is NOT a Function. (Why?)
  • 19. FUNCTIONS ARE SET OF ORDERED PAIRSWHERE X-COORDINATE IS NOT REPEATEDCHECK FOR FUNCTIONS:
  • 20. EXAMPLE OF A FUNCTION (Y CAN BE REPEATED)
  • 21. DOMAIN AND RANGE OF A FUNCTIONTHE DOMAIN IS ALL THE X-VALUES, AND THERANGE IS ALL THE Y-VALUES.EXAMPLE: FIND THE DOMAIN AND RANGE.
  • 22. DOMAIN AND RANGE OF A RELATION State the domain and range of the following relation. Is the relation a function? {(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)} The above list of points, being a relationship between certain xs and certain ys, is a relation. Domain: {2, 3, 4, 6} Range: {–3, –1, 3, 6}
  • 23. DOMAIN AND RANGE OF A FUNCTION
  • 24. FUNCTIONS?
  • 25. VERTICAL LINE TEST FOR GRAPH OF FUNCTIONS
  • 26. CHECK FOR GRAPHS OF FUNCTIONS
  • 27. GRAPHS OF FUNCTIONS?
  • 28. EXAMPLE: The set A= {(1, 1), (2, -4), (2, 4), (3, 9), (3, -9)} is NOT a Function. These are the ordered pairs obtained fromthe equation 2y x y x
  • 29. FUNCTION IS AN INPUT/OUTPUT MACHINE
  • 30. FUNCTION IS AN INPUT/OUTPUT MACHINE
  • 31. THANK YOU