Understand functions as mappings from inputs to exactly one output; connect f(x) to graph y=f(x).
Find domain and range of a finite relation
Problem
Find the domain and range of the finite relation \((1,4)\), \((2,4)\), \((3,7)\).
Big Picture
What this problem is really about
Separate the coordinates by role before collecting any values: first coordinates are inputs and second coordinates are outputs. We’ll form one set from each position and remove repeated entries, since sets record distinct values only. This keeps the domain and range from being swapped or padded with duplicates.
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