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!
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!!!