Math Problem Statement

Determine if the relation is also a function. Give the domain and range of the relation or function: {(6, -1), (8, 0), (5, 5), (1, 3), (4, 5), (3, 4)}. Is the relation a function?

Solution

To determine if the relation is a function, check if each input (first element in each pair) is associated with exactly one output (second element in each pair).

Given the relation {(6,1),(8,0),(5,5),(1,3),(4,5),(3,4)}\{(6, -1), (8, 0), (5, 5), (1, 3), (4, 5), (3, 4)\}:

  • The inputs are 6,8,5,1,4,36, 8, 5, 1, 4, 3.
  • Each input is paired with a unique output.

Since each input corresponds to exactly one output, the relation is a function.

a) Is the relation a function?

Yes.

b) Domain and Range:

  • Domain: {6,8,5,1,4,3}\{6, 8, 5, 1, 4, 3\}
  • Range: {1,0,5,3,4}\{-1, 0, 5, 3, 4\}

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Math Problem Analysis

Mathematical Concepts

Functions
Relations
Domain and Range

Formulas

-

Theorems

Definition of a Function: Each input maps to exactly one output

Suitable Grade Level

Grades 8-10