Question

Which polynomial(s) could have the following end behavior: as x→∞, f(x)→∞, and as x→−∞, f(x)→∞?

There may be more than one correct answer. Select all correct answers.

ax3+bx2+c

ax

ax2−b

ax6

−ax5+bx2+cx

ax4−bx3−cx2−dx+e

Answer 1

ax2−b

ax6

ax4−bx3−cx2−dx+e

Explanation:

Since the end behaviors are the same, the even functions are possible answers (any option with an even exponent in the leading term)