Generalization, model comparison, proof, and technology-assisted validation.
Directions: Show exact work before decimals, label domains or intervals, and explain calculator use.
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Find the average rate of change of x² from 2 to 5.
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Simplify [(x+h)²−x²]/h.
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Evaluate lim_{x→3}(2x+1).
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Evaluate lim_{x→2}(x²−4)/(x−2).
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Can a two-sided limit exist if one-sided limits differ?
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Name the discontinuity in (x²−1)/(x−1) at x=1.
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Name the response variable in a model predicting height from age.
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What does a positive residual mean?
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Why document assumptions?
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What is interpolation?
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What is extrapolation?
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What should a model defense include?