Can someone me on this question? i been stuck on this question for a while. will mark brainliest

find the asymptote and determine the end behavior of the function from the graph.

the asymptote of the function is (blank 1) . for very high x-values, y (blank 2)

for blank 1 the choices are: x=2, x=-2, x=3,x=-3

blank 2 choices are: moves toward negative infinity, moves toward the horizontal asymptote, moves toward the vertical asymptote, and moves toward positive infinity

Answer with explanation:

Asymptote of a function is a line ,that is either parallel to x axis or y axis or any line in coordinate plane ,such that distance between the curve and line becomes Zero ,when either  x or y or both x and y ,tends to infinity.

For the curve ,given ,there is a vertical Asymptote, that is when x→∞, distance between curve f(x) and line , x=3 becomes Zero.

So, x=3 , is a vertical asymptote of this function.⇒Option C

Suppose, is the given function,where ,k can be a polynomial that is single variable containing x terms only,or a constant term.

→So,  For very high x-values, y becomes  moves toward the horizontal asymptote.⇒Option B

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