Calculate, estimate, and interpret average rate of change for advanced function types.
Rank all candidate intervals by average rate
Problem
Candidates A, B, and C have average rates \(2\), \(-1\), and \(5\). List all rates, identify the greatest and least candidates with values, and state whether a tie occurs.
Big Picture
What this problem is really about
Rank signed rates on a number line, not by absolute value. Record every candidate first, order the numerical values from least to greatest, and carry the labels with them. The two extremes identify the requested candidates, while a final equality check makes any genuine tie explicit.
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