Question

Match each polynomial with its end behavior. Some end behavior options may not have a matching polynomial.

Answer 1

`\begin{gathered} 2x^3+3x^4+x^2-1 \\ \mathrm{as}\: x\to\: +\infty\: ,\: f\mleft(x\mright)\to\: +\infty\: ,\: \: \mathrm{and\: as}\: x\to\: -\infty\: ,\: f\mleft(x\mright)\to\: +\infty\: \end{gathered}`

Letter B

`\begin{gathered} 1-3x+x^2 \\ x\to\: +\infty\: ,\: f\mleft(x\mright)\to\: +\infty\: ,\: \: \mathrm{and\: as}\: x\to\: -\infty\: ,\: f\mleft(x\mright)\to\: +\infty\: \end{gathered}`

Letter C

`\begin{gathered} 9+x^4 \\ \mathrm{as}\: x\to\: +\infty\: ,\: f\mleft(x\mright)\to\: +\infty\: ,\: \: \mathrm{and\: as}\: x\to\: -\infty\: ,\: f\mleft(x\mright)\to\: +\infty \end{gathered}`

Letter D

`\begin{gathered} 2x+5 \\ \mathrm{as}\: x\to\: +\infty\: ,\: f\mleft(x\mright)\to\: +\infty\: ,\: \: \mathrm{and\: as}\: x\to\: -\infty\: ,\: f\mleft(x\mright)\to\: -\infty \end{gathered}`