A certain function is defined as f(x) = a/x2 , where a and x are both positive numbers. Which of the following graphs best depicts this function?

Choice B

Explanation

f(x) varies inversely with x. In other words, as the value of x increases, the value of y decreases. Since x is squared, the relationship is exponential, and the graph must be curved (not a straight line). Only choice (2) provides a graph that fits this functional relationship.

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