Mathematics
Mathematics, 08.05.2021 02:10, MissSusan183

Consider f(x) Equals StartFraction 8 (x minus 1) Over x squared + 2 x minus 3 EndFraction. Which statements describe the existence of vertical asymptotes at x = –3 and x = 1?

At x = negative 3, limit of f (x) as x approaches negative 3 minus = negative infinity and limit of f (x) as x approaches negative 3 plus = infinity, so there is a vertical asymptote. At x = 1, limit of f (x) as x approaches 1 minus = 2 and limit of f (x) as x approaches 1 plus = 2, so there is no vertical asymptote.
At x = negative 3, limit of f (x) as x approaches negative 3 minus = infinity and limit of f (x) as x approaches negative 3 plus = negative infinity, so there is a vertical asymptote. At x = 1, limit of f (x) as x approaches 1 minus = 2 and limit of f (x) as x approaches 1 plus = 2, so there is no vertical asymptote.
At x = negative 3, limit of f (x) as x approaches negative 3 minus = negative infinity and limit of f (x) as x approaches negative 3 plus = infinity, so there is a vertical asymptote. At x = 1, limit of f (x) as x approaches 1 minus = infinity and limit of f (x) as x approaches 1 plus = infinity, so there is no vertical asymptote.
At x = negative 3, limit of f (x) as x approaches negative 3 minus = infinity and limit of f (x) as x approaches negative 3 plus = negative infinity, so there is a vertical asymptote. At x = 1, limit of f (x) as x approaches 1 minus = infinity and limit of f (x) as x approaches 1 plus = infinity, so there is no vertical asymptote.

answer
Answers: 2

Other questions on the subject: Mathematics

image
Mathematics, 21.06.2019 13:30, rtryf57rfgth
What value is equivalent to 5 + [5 × (4 + 2)]? a) 35 b) 45 c) 60 d) 110
Answers: 2
image
Mathematics, 21.06.2019 19:00, sciencegeekgirl2017
Write the pair of fractions as a pair of fractions with a common denominator
Answers: 3
image
Mathematics, 21.06.2019 21:30, daii128
The anwser cause i do not understand just plez
Answers: 1
image
Mathematics, 22.06.2019 00:30, kkeith121p6ujlt
Afurniture store is having a weekend sale and is offering a 20% discount on patio chairs and tables the sales tax on furniture is 6.25%
Answers: 3
Do you know the correct answer?
Consider f(x) Equals StartFraction 8 (x minus 1) Over x squared + 2 x minus 3 EndFraction. Which s...

Questions in other subjects: