Lesson 1 Funtions on mathematics 11.pptx

Math Lesson 1

1. Functions Prepared: Sir Ymbhon Gatmaitan

2. Learning Competencies : Distinguishes functions from relations Illustrates functions/relations using arrow diagram, ordered pairs, table of values, graphs, equations, and real-life situations.

3. FUNCTION: A function is defined as a relation where each element in the domain is related to ONLY ONE value in the range by some rule.

4. RElation : It is a rule that relates values from a set of values (called the domain ) to a second set of values (called the range ). A relation is set of ordered pairs .

5. ORDERED PAIR: An ordered pair is a pair of numbers written in a particular order, (x, y) Domain/Input Range/Output

6. ExAMPLE : A= {(1 ,3), (2, 4), (-1, 0)} Domain: { 1, 2,-1 } Range: { 3, 4,0 }

7. FUNCTION: A function is defined as a relation where each element in the domain is related to ONLY ONE value in the range by some rule.

8. ExAMPLE : A= {(1 ,2), (3, 5), (-1, 1), (2, 0)} B= {(3,-1), (4, 2), (3,5 ), (1, 6)} TIP: Simply look at the value of “x”. If the elements of the domain are used only once (no same x-values), then the given set of ordered pairs is a function.

9. A= {(1 ,2), (3, 5), (-1, 1), (2, 0)} B= {(3,-1), (4, 2), (3,5 ), (1, 6)} Which of the following is a Function? Function Not Function

10. Important Concept A relation is a function if each x-coordinate (input) is related or paired to exactly one y-coordinate (output). Using a functional notation, a function is written as f(x)=y

11. THANK YOU!