Which of the following rational functions is graphed below?
2 answers:
<h2>Answer:</h2>
The rational function which is graphed below is:
Option: B
B.
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.
( 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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