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Which of the following rational functions is graphed below?

Which of the following rational functions is graphed below?-example-1

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Answer:


A = (1)/((x-1)(x+1))

Explanation:

Looking at the dashed lines in the graphic, these functions have two discontinuities, at x = -1 and at x = 1.

A discontinuity in a rational function is a point in which the denominator of the function is 0.

For these options, the denomiator is 0 at both x = -1 and x = 1 for only option A, so the answer is:


A = (1)/((x-1)(x+1))

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