Compare growth of exponential, linear, quadratic, and other polynomial models using graphs/tables.
Compare two exact average rates of change
Problem
Compare average rates of change for \(A(n)=10n\) and \(B(n)=2^n\) on \([2,5]\).
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What this problem is really about
Exact average-rate comparison uses the same ordered interval and divides each output change by its width. We’ll evaluate both endpoint pairs, preserve the fractional rate instead of rounding, and subtract with a common denominator to compare magnitudes.
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