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

Question

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Mathematics

4 February, 02:59

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

+1

Answers (1)

Know the Answer?

Harper Everett · Answer 1

ax2-b

ax6

ax4-bx3-cx2-dx+e

Step-by-step explanation:

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

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+caxax2-bax6-ax5+bx2+cxax4-bx3-cx2-dx+e

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