1.What is a Funaction?2.What is a relation in Mathematics?3.What are the Five ways in representing a relation. give example of each4.What is a domain?5.What is a renge?6.What are the three Cclassification of give ellustrative example for each.​

Answer:1. Function - Definition: A function is a special type of relation where each input (from the domain) has exactly one output (in the range). Think of it like a machine: you put something in, and it always gives you a specific thing out. 2. Relation in Mathematics - Definition: A relation in mathematics is a set of ordered pairs. These pairs show how elements from one set (the domain) are connected to elements from another set (the range). 3. Five Ways to Represent a Relation - 1. Set of Ordered Pairs: The most direct way. Example: {(1, 2), (3, 4), (5, 6)} This relation connects 1 to 2, 3 to 4, and 5 to 6.- 2. Table: A table with columns for teh input (domain) and output (range).plaintext Input | Output-------|------- 1 | 2 3 | 4 5 | 6 - 3. Mapping Diagram: A visual representation with arrows connecting elements.plaintext Domain | Range-------|------- 1 | 2 3 | 4 5 | 6  - 4. Graph: Plot the ordered pairs on a coordinate plane.- 5. Rule or Equation: A mathematical rule that describes the relationship between the input and output. Example: y = 2x (This rule says the output is always twice the input). 4. Domain - Definition: The domain of a relation (or function) is the set of all possible input values. It's the set of things you can "put into" the relation. 5. Range - Definition: The range of a relation (or function) is the set of all possible output values. It's the set of things you can "get out" of the relation. 6. Classification of Relations - 1. One-to-One: Each input has exactly one unique output, and each output comes from only one input.- Example: {(1, 2), (3, 4), (5, 6)}- 2. Many-to-One: Multiple inputs can map to the same output.- Example: {(1, 3), (2, 3), (4, 5)}- 3. One-to-Many: One input can map to multiple outputs. This is not a function!- Example: {(1, 2), (1, 3), (2, 4)}

Answered by whatabim | 2024-10-17