#1**+10 **

We only need to consider the end behavior of 2x^7......this term tends to "outstrip" the behavior of the other terms as x approaches "large" values

2x^7 will result in a large negative as x tends toward negative infinity....the coefficient is positive and any odd power will make the whole term negative as x approaches infinity

And 2x^7 will tend towards a large positive as x tends toward positive infinity

So....."down and up" describes the end behavior

CPhill Jan 27, 2016

#1**+10 **

Best Answer

We only need to consider the end behavior of 2x^7......this term tends to "outstrip" the behavior of the other terms as x approaches "large" values

2x^7 will result in a large negative as x tends toward negative infinity....the coefficient is positive and any odd power will make the whole term negative as x approaches infinity

And 2x^7 will tend towards a large positive as x tends toward positive infinity

So....."down and up" describes the end behavior

CPhill Jan 27, 2016