Math Problem Statement

Domain fungsi yang dinyatakan dengan himpunan pasangan berurutan {(1,2), (2,3), (3,4), (4,5)}

Solution

The image contains a mathematical question written in Indonesian:

"Domain fungsi yang dinyatakan dengan himpunan pasangan berurutan {(1,2),(2,3),(3,4),(4,5)}\{(1,2), (2,3), (3,4), (4,5)\}"

Translated to English, it reads:

"The domain of the function represented by the set of ordered pairs {(1,2),(2,3),(3,4),(4,5)}\{(1,2), (2,3), (3,4), (4,5)\}"

To find the domain of the function, we simply list all the first elements from the ordered pairs. These first elements are the inputs of the function.

Given the set of pairs {(1,2),(2,3),(3,4),(4,5)}\{(1,2), (2,3), (3,4), (4,5)\}, the domain is:

Domain={1,2,3,4}\text{Domain} = \{1, 2, 3, 4\}

This set represents all the possible inputs for the function.

Let me know if you have any questions or need more details!


Here are five related questions:

  1. What is the range of this function?
  2. How do we define a function's domain in general terms?
  3. Can a function have repeated elements in its domain? Why or why not?
  4. How does the concept of a function's domain differ from its codomain?
  5. How do you determine if a given relation is a function?

Tip: In any function, the domain refers to all possible input values, while the range refers to all possible outputs.

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Math Problem Analysis

Mathematical Concepts

Functions
Domain and Range
Set Theory

Formulas

Domain: First elements of the ordered pairs

Theorems

Definition of a function's domain

Suitable Grade Level

Grades 7-9