3
ALMultiple Choice

Direct, Inverse, and Joint Variation

Question 3 • IASD Precalculus 2nd Quarter - Wingerter 2025-26

Which of the following functions is most likely to have the smallest value for y if x is large? (Assume k is positive.)

Answer
A
a direct variation function with a small value for k
B
a direct variation function with a large value for k
C
an inverse variation function with a small value for k
D
an inverse variation function with a large value for k

Explanation

A direct variation has the form y = kx, so its value grows as x gets large. An inverse variation has the form y = k/x, which gets small as x grows; using a small positive k makes y smaller still. Therefore, the inverse variation function with a small value of k is most likely to have the smallest y-value.

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