Unit 16 Mastery Check

Which feature most strongly separates polynomial from exponential end behavior?

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Which feature most strongly separates polynomial from exponential end behavior?

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State the defining idea behind function-family classification in one precise sentence.

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For function-family classification, what condition or domain restriction must remain visible in the solution?

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Name two reasons to reject a numerically good fit.

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Name two reasons to reject a numerically good fit.

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State the defining idea behind model selection and comparison in one precise sentence.

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For model selection and comparison, what condition or domain restriction must remain visible in the solution?

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Find average rate of ln $x$ from $1$ to $e$.

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Find average rate of ln $x$ from $1$ to $e$.

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State the defining idea behind average rate of change revisited in one precise sentence.

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For average rate of change revisited, what condition or domain restriction must remain visible in the solution?

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Simplify the difference quotient for$$f(x)=3x+5$$

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Simplify the difference quotient for$$f(x)=3x+5$$

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State the defining idea behind difference quotients in one precise sentence.

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For difference quotients, what condition or domain restriction must remain visible in the solution?

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What do left and right secant slopes suggest for $f(x)=|x|$ at $0$?

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What do left and right secant slopes suggest for $f(x)=|x|$ at $0$?

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State the defining idea behind secant lines and tangent intuition in one precise sentence.

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For secant lines and tangent intuition, what condition or domain restriction must remain visible in the solution?

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Use local linearity for sqrt(x) near $x=9$ with slope about $\frac{1}{6}$ to estimate $sqrt(9.3)$.

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Use local linearity for sqrt(x) near $x=9$ with slope about $\frac{1}{6}$ to estimate $sqrt(9.3)$.

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State the defining idea behind local linearity and magnification in one precise sentence.

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For local linearity and magnification, what condition or domain restriction must remain visible in the solution?

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Can a limit exist when the function is undefined at the point?

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Can a limit exist when the function is undefined at the point?

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State the defining idea behind intuitive limits in one precise sentence.

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For intuitive limits, what condition or domain restriction must remain visible in the solution?

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What three conditions are needed for continuity at an interior point $c$?

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What three conditions are needed for continuity at an interior point $c$?

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State the defining idea behind continuity and discontinuity in one precise sentence.

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For continuity and discontinuity, what condition or domain restriction must remain visible in the solution?

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Does sin $x$ have a limit as $x$ approaches infinity?

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Does sin $x$ have a limit as $x$ approaches infinity?

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State the defining idea behind infinite behavior and asymptotes in one precise sentence.

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For infinite behavior and asymptotes, what condition or domain restriction must remain visible in the solution?

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