Function and Relation

EXERCISE 1: DESCRIBE THE ILLUSTRATION BELOW.

Relation is any set of ordered pairs while a function is an essential and specialized type of relation. The illustration below shows that all functions are also relations, but not all relations are functions.

EXERCISE 2: TELL WHETHER IT IS A RELATION OR A FUNCTION.

  1. Relation
  2. Function
  3. Function
  4. Relation
  5. Relation

EXERCISE 3: CLASSIFY THE FOLLOWING INTO RELATION AND FUNCTION. WRITE YOUR ANSWER INSIDE THE BOX.

Text Box: FUNCTION

3. Input: Grade 8- Diamond students
  Output: Math Teacher

4. Input: LRN
  Output: Student

5. Input: Student
  Output: Score on the last exam
Text Box: RELATION

1. Input: Adviser
  Output: Grade 8- Aristotle students

2. Input: Region VI
  Output: Provinces

 

EXERCISE 4:

Number of folds (x)  1  2  3  4  5  6
Number of regions in a paper (y)  2    4  8  16  32  64
  1. Yes, there is a relationship between the number of folds and number of regions in the paper which determines a function wherein in each input or number of folds, there is only one output or in number of regions.
  • Using the table of values shown above, the following set of ordered pairs are presented:

{(1,2), (2,4), (3,8), (4,16), (5,32), (6,64)}

  • Yes, the set of ordered pairs is a function because when we are going to look at it thoroughly, there is a unique value in the first element which is (x).

Question/s:

  1. To simplify, a relation is the set or collection of ordered pairs. An ordered pair, is known as a point which has two components namely the x and y coordinates. While function is a relation in which every element in the x coordinates is mapped to exactly one element in the y coordinates. So, if you can draw a vertical line through a graph and touch only one point, the relation is a function. If you were to draw a vertical line through each of the points on the graph, each line would touch at only point, so this relation is a function. Examples, x2 (squaring) is a function and x3+1 is also a function.
  • Function is different from relation wherein a function depends whether on x and y while relation is the x and y itself.

Example: [ 1 family, 2 kids]

Function y = x + 1 where x = family, y = kids

Relation: (1,2) where 1 family, 2 kids

V. REFLECTION

  1. I have learned about Illustrating Relation and Function.

2. I can apply this when you have any math related jobs in the future that use this type of topic.

Image: Pexels

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