Quick questions on Function model construction and application - AP Precalculus Unit 1

3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is q1?

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A box has a square base of side

x

and a fixed volume of

32

. Write its height

h

as a function of

x

. [1 point]

What is q2?

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For the average-cost model

C(x) = \frac{2000}{x} + 5

, what does

C

approach as

x \to \infty

, and what does it mean? [1 point]

What is not eliminating the extra variable?

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Use the constraint to reduce to a single-variable function before applying the model; an area written in two variables cannot be optimized directly here.

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