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2 years ago

Which of the following rational functions is graphed below?

Mathematics

2 answers:

AlekseyPX2 years ago

6 0

Answer:

The rational function that is graphed is B

navik [9.2K]2 years ago

5 0

<h2>Answer:</h2>

The rational function which is graphed below is:

Option: B

B. $F(x)=\dfrac{x}{(x-1)(x+1)}$

<h2>Step-by-step explanation:</h2>

From the graph of the function we see that the graph has vertical asymptote at x=1 and x= -1

Also, we know that while finding the vertical asymptote of the rational function we substitute denominator equal to zero and the values of such x will be the vertical asymptote.

Also, if the line y=0 act as a horizontal asymptote if the degree of polynomial in numerator is smaller than in the denominator.

The function in which above two property hold true is:

B. $F(x)=\dfrac{x}{(x-1)(x+1)}$

( since in option: A

If denominator equal to 0 then x=0 and -1

This means that the vertical asymptotes are 0 and -1 .

In option: C

If denominator is equal to zero.

Then x=0 and 1

This means that the vertical asymptotes are 0 and 1

In option: D

When denominator=0

then x=0

This means that the vertical asymptote is at x=0

which is false )

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erik [133]

Answer:

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Data provided in the question

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98% confidence level

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2 years ago

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