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Which of the following rational functions is graphed below?

Which of the following rational functions is graphed below?-example-1
User Bddicken
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Answer:

A

Explanation:

An asymptote is a line that a curve approaches, as it heads towards infinity.

It is easy to spot the asymptotes for any given rational function - simply work out which value of x would make the denominator zero.

Function A has asymptotes at x = -3 and x = 7. This is consistent with the graph, where the asymptotes are marked as red dash lines at x = -3 and x = 7

For info, function D has asymptotes at x = -7 and x = 3. So the shape of the curve would be the same as the given diagram, but it would be 4 units to the left.

User Ronie
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