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Which of the following functions is most likely to have the smallest value for y if x is large? (Assume k is positive.)
a direct variation function with a small value fork
a direct variation function with a large value fork
an inverse variation function with a small value fork
an inverse variation function with a large value fork
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sqdancefan

Answer:

  an inverse variation function with a small value for k

Step-by-step explanation:

The attached graph shows the cases described. The function with the smallest function value for large x is ...

  an inverse variation function with a small value for k

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On the graph, it is the green curve. The inverse variation functions both continue to decrease for large x, but the function with the smaller k value has a smaller function value.

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