Which of the following is the horizontal asymptote for the g

Which of the following is the horizontal asymptote for the graph below? Y=0 y=-4 x=-4 x=0

Solution

Answer:

The horizontal asymptote tells me, roughly, where the graph will go when x is really, really big.

So , from the given graph it is observed that , while we are going away from the origin the graph of the curve is tending to y = -4.

Hence , the horizontal asmptote of the given graph is y = -4