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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 Aquavitae
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2 Answers

5 votes

Answer:A and D

Explanation:

User Punchlinern
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5 votes

Answer:

D.

Explanation:

You can observe in the graph that the rational function has an asymptote at x=-1, that means there's an undetermined point. In other words, x=-1 isn't admitted in the domain of the set, so we have to look for a function that has the same restriction.

Among the options, D has the same restriction, because with x=-1, the function is undermined, as it's shown


f(x)=(1)/(x+1)\\ f(-1)=(1)/(-1+1)=(1)/(0)=\inf

As you can see, at x=-1, the function is infinite, undetermined, because having a zero in the denominator results in a undetermination. This means that option D has the same restriction than the graph.

Therefore, the right answer is D.

User Megha
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