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 13