Question

Which function displays this end behavior? as x approaches negative infinity, y approaches negative infinity. as x approaches positive infinity, y approaches negative infinity.

1) y = -x^(1/2) + 5
2) y = -2x³ - 1
3) y = -3x² + 4
4) y = (2x)^(1/3) - 7

Answer 1

The function that displays the given end behavior is y = -2x³ - 1. Hence the correct answer is option 2

Step-by-step explanation:

The function that displays the given end behavior is y = -2x³ - 1.

As x approaches negative infinity, y approaches negative infinity because the coefficient of the leading term, -2x³, is negative. As x approaches positive infinity, y also approaches negative infinity because the leading term dominates the behavior of the function.

Hence the correct answer is option 2