Understand functions as mappings from inputs to exactly one output; connect f(x) to graph y=f(x).
Decide whether a real-world mapping can be modeled as a function
Problem
A weather record maps each calendar date to the single official high temperature recorded for that date. Determine whether the relation is a function, identify the input and output roles, and cite supporting evidence.
Big Picture
What this problem is really about
First define the mapping exactly as the context states it, including what counts as one input and one output. Then ask whether a single allowed input could receive two different official outputs under that definition. Shared output values across different inputs do not matter; only a split from one input would violate the function rule.
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