A relation is a function if each input (first value in each ordered pair) is associated with exactly one output (second value in the pair).

Step 1: Check if the relation is a function

The given relation is:
$\{(1,4), (4,6), (8,8)\}$

• The inputs (domain values) are 1, 4, and 8.
• Since all inputs are unique and none are repeated with different outputs, this relation is a function.

Step 2: Identify the domain and range

• Domain (set of inputs): $\{1, 4, 8\}$
• Range (set of outputs): $\{4, 6, 8\}$

Final Answer:

• Function: Yes, this is a function.
• Domain: $\{1, 4, 8\}$
• Range: $\{4, 6, 8\}$

Would you like a detailed explanation of functions or any related concepts?

Related Questions:

1. How do you determine if a relation is a function using a graph?
2. What is the vertical line test, and how does it relate to functions?
3. Can a function have repeating output values?
4. How do you find the domain and range of a function given an equation?
5. What are examples of relations that are not functions?

Tip:

A function must have each input mapped to only one output, but different inputs can have the same output.