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Aa Bb Cc Dd Ee Ff Gg Hh




         Have a nice day everyone!!!!
Aa Bb Cc Dd Ee Ff Gg Hh
1. What are the
???Questions???      kinds of function?
    ??????



                  2. How can we
                     differentiate one
                     function from
                     another?
TYPES OF FUNCTION AND SOME SPECIAL FUNCTION
    Constant  Functions- assigns the
    same real number to every element of
    the domain. This function contains only
    the constant term. It is of the form f(x)
    =0x +c or f(x)= c such as f(x)= 8. It is
    generally a horizontal line.
LINEAR FUNCTIONS-

 ifthe degree of the polynomial function is
  1 then it is a linear function. It is generally
  define by the equation
 f(x)= mx+b. Using 5x+y = 4. The equation
  can be rename as y = -5x +4 so that we
  can give value of x and y and then its
  graph.
,




                                                             y
    QUADRATIC FUNCTION
                                             y
       a polynomial with second degree. This function is
                                                                 x
        define by f(x)=       Types of quadratic relations
                                                    x
        are:
                                                 hyperbola
    Circles:
                          Ellipse




    Parabola
POWER/CUBIC FUNCTIONS –
   – it is a polynomial functions with 3rd degree define
                      y
    by f( ). A cubic relation is a cubic function because
    there’s only one range for every value of domain.
    This is illustrated by y= f(x)=



                                            x
IDENTITY FUNCTIONS
                     y
itis define by f(x)= x, or y= x.
 where each element of the
 domain onto itself.
                           x
ABSOLUTE VALUE FUNCTIONS

   contains the absolute value of a quantity, such as
                           y
    f(x) = |x|. It can be define as follows f(x)= x, x>0,
    f(x)= 0, x=0,f(x)= -x, x= <0.




                                                x
.




    RATIONAL FUNCTIONS-
    a function expressed as the quotient of
     two polynomial functions. Example. .
                 3               2
             x               x       1
                         2
                     x           4
ALGEBRAIC FUNCTIONS
   the function formed by a finite number of algebraic
    operations on the identity function and the constant
    function. The algebraic operations include four
    fundamental operations, raising to powers, and
    extracting square roots. Example:

                 2                      2
             x           2x 1
                          2
                      x          1
GROUP ACTIVITY


 Be  cooperative
 Work as a team
 Always read and understand rules
  and procedures
 Strictly follow the instructions
 BEHAVE
 Be aware of time limits!
TELLING COMPETITION:


 Group          1:
   x   -2   -1   0    1   2

   y   4    1    0    1   4




                     Refer to Quadratic function
TELLING COMPETITION:


 Group     2:
                     3
   f x           x

           Refer to Cubic Functions
TELLING COMPETITION:


 Group     :3
                                   6
  33x 3 y 6


             Refer to Linear function
                                  -27
TELLING COMPETITION:


 Group     4:

    f x          4              4




          Refer to Constant Functions
TELLING COMPETITION:


 Group     5:
                   2
   f x        2x              4




            Refer to Quadratic Function
???Questions???
    ??????
                  2. How can we
                     differentiate one
                     function from
                     another?


                             Summary!
DO THIS
!!!! 10-                                 Write a letter to your friend
POINTS                                   and discuss “The types of
                                        Functions and some Special
                                        Function” to the manner that
                                         you are giving menu for a
                                                    recipe.

    Points                                                Description
              Writes a clearly stated main idea, topic and presents supporting details in a logical order. The
     10      journal is written with correct use of conventions (grammar, punctuation, capitalization, and
             spelling)
              Writes clearly stated main idea, topic and presents supporting details in a logical order. The
      8       details may not be as complete as it could be. The journal is written with generally correct use
              of conventions.
             Writes a clearly stated main idea, topic but presents some unrelated details. There are few
      6
             errors in the use of conventions.
              Writes a main idea, topic but not clearly stated. Details may not be presented in a logical
      4      order, or some of the information may be inaccurate. The journal may include some errors in
             the use of conventions.
      2        No accurate understanding of topic/subject.
TO DOS’
           Make a research of at least
           three different graphs that
           shows the types of functions.
           E.g Sciences, Economics,
           Psychology, Statistics.



     Thank You and
      G o o d B y e!!!
BY:




         Mr. Boyet Bandoja Aluan

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Types of functions 05272011

  • 1. Aa Bb Cc Dd Ee Ff Gg Hh Have a nice day everyone!!!!
  • 2. Aa Bb Cc Dd Ee Ff Gg Hh
  • 3. 1. What are the ???Questions??? kinds of function? ?????? 2. How can we differentiate one function from another?
  • 4. TYPES OF FUNCTION AND SOME SPECIAL FUNCTION  Constant Functions- assigns the same real number to every element of the domain. This function contains only the constant term. It is of the form f(x) =0x +c or f(x)= c such as f(x)= 8. It is generally a horizontal line.
  • 5. LINEAR FUNCTIONS-  ifthe degree of the polynomial function is 1 then it is a linear function. It is generally define by the equation  f(x)= mx+b. Using 5x+y = 4. The equation can be rename as y = -5x +4 so that we can give value of x and y and then its graph.
  • 6. , y QUADRATIC FUNCTION y  a polynomial with second degree. This function is x define by f(x)= Types of quadratic relations x are: hyperbola Circles: Ellipse Parabola
  • 7. POWER/CUBIC FUNCTIONS –  – it is a polynomial functions with 3rd degree define y by f( ). A cubic relation is a cubic function because there’s only one range for every value of domain. This is illustrated by y= f(x)= x
  • 8. IDENTITY FUNCTIONS y itis define by f(x)= x, or y= x. where each element of the domain onto itself. x
  • 9. ABSOLUTE VALUE FUNCTIONS  contains the absolute value of a quantity, such as y f(x) = |x|. It can be define as follows f(x)= x, x>0, f(x)= 0, x=0,f(x)= -x, x= <0. x
  • 10. . RATIONAL FUNCTIONS- a function expressed as the quotient of two polynomial functions. Example. . 3 2 x x 1 2 x 4
  • 11. ALGEBRAIC FUNCTIONS  the function formed by a finite number of algebraic operations on the identity function and the constant function. The algebraic operations include four fundamental operations, raising to powers, and extracting square roots. Example: 2 2 x 2x 1 2 x 1
  • 12. GROUP ACTIVITY  Be cooperative  Work as a team  Always read and understand rules and procedures  Strictly follow the instructions  BEHAVE  Be aware of time limits!
  • 13. TELLING COMPETITION: Group 1: x -2 -1 0 1 2 y 4 1 0 1 4 Refer to Quadratic function
  • 14. TELLING COMPETITION: Group 2: 3 f x x Refer to Cubic Functions
  • 15. TELLING COMPETITION: Group :3 6 33x 3 y 6 Refer to Linear function -27
  • 16. TELLING COMPETITION: Group 4: f x 4 4 Refer to Constant Functions
  • 17. TELLING COMPETITION: Group 5: 2 f x 2x 4 Refer to Quadratic Function
  • 18. ???Questions??? ?????? 2. How can we differentiate one function from another? Summary!
  • 19. DO THIS !!!! 10- Write a letter to your friend POINTS and discuss “The types of Functions and some Special Function” to the manner that you are giving menu for a recipe. Points Description Writes a clearly stated main idea, topic and presents supporting details in a logical order. The 10 journal is written with correct use of conventions (grammar, punctuation, capitalization, and spelling) Writes clearly stated main idea, topic and presents supporting details in a logical order. The 8 details may not be as complete as it could be. The journal is written with generally correct use of conventions. Writes a clearly stated main idea, topic but presents some unrelated details. There are few 6 errors in the use of conventions. Writes a main idea, topic but not clearly stated. Details may not be presented in a logical 4 order, or some of the information may be inaccurate. The journal may include some errors in the use of conventions. 2 No accurate understanding of topic/subject.
  • 20. TO DOS’  Make a research of at least three different graphs that shows the types of functions. E.g Sciences, Economics, Psychology, Statistics. Thank You and G o o d B y e!!!
  • 21. BY:  Mr. Boyet Bandoja Aluan