Question

Graph the function and identify the vertical asymptote
y= 1/x-4 - 2
a. x= -4
b. y=-4
c. x=4
d. y=4

y=1/x+2 + 4
a. y=-2
b. x=-2
c. y= 2
d. x= 2

Answer 1

\[y= \frac {1}{x-4} - 2\]
when x is getting close to 4, that denominator is going to ward zero, and you end up getting negative or positive infininty, depending on x is getting close to 4 from the left or right

Answer 2

any number divided by a really small number will give you a big number

Answer 3

so dividing by zero is a huge negative or positve number --> infinity