Describe the vertical asymptotes) and holes) for the graph of y=(x+2)(x+4)/(x+4)(x+1) A. asymtotes: x=-1 and hole: x=4 B. asymtotes: x=2 and hole: x=-1 C. asymtotes: x= -1 and hole: x=-4 D. asymtotes: x=1 and hole: x=4

VarceprewN3M

VarceprewN3M

Answered question

2022-11-26

Describe the vertical asymptotes) and holes) for the graph of y = ( x + 2 ) ( x + 4 ) ( x + 4 ) ( x + 1 )
A. asymtotes: x=-1 and hole: x=4
B. asymtotes: x=2 and hole: x=-1
C. asymtotes: x= -1 and hole: x=-4
D. asymtotes: x=1 and hole: x=4

Answer & Explanation

kriteria0b1

kriteria0b1

Beginner2022-11-27Added 10 answers

There are a few points you should check to ensure the function is defined.
The function is not defined for those values where the denominator is equal to zero.
We have then:
y = ( x + 2 ) ( x + 4 ) ( x + 4 ) ( x + 1 )
Studying the denominator:
( x + 4 ) ( x + 1 ) = 0 x = 4 x = 1
Answer:
C. asymtotes: x = -1 and hole: x = -4

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?