Q2-Functions-and-Independent-and-Dependent-Variables.pptx

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1. What is a function? A function is a special type of relation. It is a relation in which every element in x is mapped to exactly one element in y . Thus a set of ordered pairs is a function if no two distinct ordered pairs have equal abscissas (x-coordinate).

2. Functions and Mere Relation one-to-one correspondence x -3 3 y 1 2 { (-3,0),(0,1),(3,2) } -3 3 1 2 x y FUNCTION vertical line test

3. Functions and Mere Relation many-to-one correspondence x 1 2 y 1 1 1 { (0,1),(1,1),(2,1) } 1 2 1 x y FUNCTION vertical line test

4. Functions and Mere Relation one-to-many correspondence x 4 4 y 2 -2 4 2 -2 x y { (0,0),(4,2),(4,-2) } NOT A FUNCTION (Mere Relation) vertical line test • •

5. Functions and Mere Relation a.   b.   c.   e.   f.   d.   vertical line test  FUNCTION vertical line test  NOT A FUNCTION vertical line test  FUNCTION ? NOT A FUNCTION ? FUNCTION ? NOT A FUNCTION

6. QUIZ #1 Comment F or NF Identify the following as a function or a mere relation: ___ 1. {(-2,3),(4,5),(4,7),(3,1)} NF ___ 2. {(1,1),(2,2),(3,3),(4,4)} F ___ 3. {(-1,1),(0,2),(1,3),(2,4),(3,5)} F x 1 2 3 y 4 5 6 ___ 4. F x -1 1 2 y 2 4 6 8 ___ 5. F

7. QUIZ #1 Comment F or NF Identify the following as a function or a mere relation: ___ 6.   F ___ 7.   F ___ 8. F ___ 9. F ___ 10. NF 1 4 2 3 5 x y

8. Independent and Dependent Variables A variable (noun) is an element, feature, or factor that is liable to vary or change. Oxford Languages and Google IV DV

9. Types of Variables Independent Variables Dependent Variables Cause Effect x -value y -value Controlled Measured Affects the value of the dependent variable Vary in relation to the independent variable Independent and Dependent Variables

10. Independent and Dependent Variables Sampaguita species were studied to determine if the amount of humidity affected the flowering of these plants. Independent Variable: Humidity Dependent Variable: Flowering of plants

11. QUIZ #2 Comment IV or DV Identify the underlined phrase as an independent variable or a dependent variable: ___ 1. You want to test a new drug that supposedly prevents sneezing in people allergic to grass. DV ___ 2. You want to see if playing OPM music makes plants grow taller . DV

12. QUIZ #2 Comment IV or DV Identify the underlined phrase as an independent variable or a dependent variable: ___ 3. The number of hours boiling and the number of ounces of water in the pot . IV ___ 4. Height of the plant to the number of months grown. DV ___ 5. The salary and the number of days worked. IV

13. Performance Task #2 Relation and Function

14. PeTa #2 Relation and Function: Monthly Electricity Consumption Leaflet or Infographic *: Customer Information Table of Values Ordered Pairs Mapping Diagram Graph *digital, printed or hand-made Name: Address: Due Date: Amount Due: Month kWh {( , ), ( , ), ( , ), ( , ), ( , )} x y

15. Thank you!