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Functions: Representations and Evaluation

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FUNCTIONS
Representations, Evaluation
Most Essential Learning Competencies
(MELCs):
⦿ Represents real-life situations using
functions, including piece-wise functions
⦿ Evaluates a function.
2
Objectives:
⦿ Define and identify a function.
⦿ Determine whether a relation is a function.
⦿ Determine whether an equation, an ordered pair, a
mapping diagram, a table of values, or a graph
represents a function.
⦿ Evaluate function with a real number and a
piecewise defined function given the specific
domain.
3
Classroom Rules
 Pay attention to the discussion
 Participate in class activities
 Be prepared for the class
 Treat everybody in the class with respect
 Don’t hesitate to ask questions
 Hand in assignments on time
4
ACTIVITY
Identify the function in each set of representations
Function
It is a relation in which no two pairs have the same x-coordinate. It
is a rule where each element in the domain is related to only one
value in the range by some rule.
ORDERED PAIRS
MAPPING DIAGRAM
EQUATION
GRAPH
TABLE OF VALUES
Function
It is a relation in which no two pairs have the same x-coordinate. It
is a rule where each element in the domain is related to only one
value in the range by some rule.
Remember:
All functions are relations but not
all relations are functions.
8
EVALUATING A FUNCTION
⦿ Evaluating a function means replacing its variable with
a given number or expression and computing for the
result.
9
EVALUATING A FUNCTION
10
QUESTIONS
11
ASSESSMENT
Answer the activity sheet in 10
minutes.
12
ASSIGNMENT
Research and study on how to
perform operations on functions:
1. addition
2. subtraction
3. multiplication
4. division
5. composition
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