Determine the equations of the vertical and horizontal asymptotes, if any, for y=x^3/(x-2)^4

a) x=2, y=0

b) x=2

c) x=2, x=-2

d) x=2, y=1

Option a)

Step-by-step explanation:

To get the vertical asymptotes of the function f(x) you must find the limit when x tends k of f(x). If this limit tends to infinity then x = k is a vertical asymptote of the function.

Then. x = 2 it's a vertical asintota.

To obtain the horizontal asymptote of the function take the following limit:

if then y = b is horizontal asymptote

Then:

Therefore y = 0 is a horizontal asymptote of f(x).

Then the correct answer is the option a) x = 2, y = 0

not enough information

step-by-step explanation:

we cannot know this, because the other students could have handed out 10 flyers, or they could have handed out 100. one way, the mean would go up, and another way, the mean would go down.