The graph of y= (-2x^3)/(x^3+5) has the same behavior as the graph of ________________?????
y= (-2x^3)/(x^3+5)
I assume that you are referring to the "end" behavior.
Since the higest power on x in both numerator and denominator is the same, the end behavior will be determined by the ratio of the coefficients on these highest powers.
So we have y = -2 / 1 = -2
Thus.......as x increases without bound in both directions, the function approaches y = -2
Here's a graph that confirms this : https://www.desmos.com/calculator/kcfoxqcmsf