Math Problem Statement

Determine whether the relation is a function. Give the domain and the range for the relation. ​{(3​,2​),(4​,3​),(8​,8​)} Question content area bottom Part 1 Is this a​ function? No Yes Your answer is correct. Part 2 The domain is ​{

enter your response here​}.

Solution

Part 1: Since each input (the first number in each ordered pair) is associated with exactly one output (the second number), the relation is a function. You've confirmed that the answer is "Yes."

Part 2: The domain of a relation is the set of all possible inputs, or the first elements of each ordered pair. In this case, the domain is the set of the first numbers in the pairs:

Domain={3,4,8}\text{Domain} = \{3, 4, 8\}

Part 3: The range of the relation is the set of all possible outputs, or the second elements of each ordered pair:

Range={2,3,8}\text{Range} = \{2, 3, 8\}

Would you like further details or have any questions?

Here are 5 related questions:

  1. What makes a relation a function?
  2. How do you determine the range of a relation?
  3. Can a function have more than one output for a given input?
  4. How do you define the codomain of a function?
  5. Can a relation with repeating outputs still be a function?

Tip: For a relation to be a function, each input must map to exactly one output.

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Math Problem Analysis

Mathematical Concepts

Relations and Functions
Domain and Range

Formulas

None (conceptual understanding of functions, domain, and range)

Theorems

Function definition: Each input must map to exactly one output

Suitable Grade Level

Grades 8-10