Unit 16 Investigation

Which feature most strongly separates polynomial from exponential end behavior?

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Solve this average rate of change revisited problem and state the final result: Compare average rate of change of $x^2, 2^x,$ and sin $x$ from $x=0$ to $x=1$.

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How should “$\frac{Left}{right}$ slope table” make the governing relationship in “Compare left and right secants at |x| near $0$.” visible?

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For continuity and discontinuity, describe the most likely incorrect first step and explain why it fails.

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Verify “$t=\frac{ln2}{r}$; the small parameter change produces a measurable time difference.” using the required condition for numerical approximation and sensitivity.

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