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 )
You might be interested in
Answer:
865
Step-by-step explanation:
We have that in 95% confidence level the value of z has a value of 1.96. This can be confirmed in the attached image of the normal distribution.
Now we have the following formula:
n = [z / E] ^ 2 * (p * q)
where n is the sample size, which is what we want to calculate, "E" is the error that is 2% or 0.02. "p" is the probability they give us, 5 out of 50, is the same as 1 out of 10, that is 0.1. "q" is the complement of p, that is, 1 - 0.1 = 0.9, that is, the value of q is 0.9.
Replacing these values we are left with:
n = [1.96 / 0.02] ^ 2 * [(0.1) * (0.9)]
n = 864.36
865 by rounding to the largest number.
