关于高次多项式函数的图像问题

题目

关于高次多项式函数的图像问题
High-degree polynomial function:
If n (the highest exponent)is odd,and An＞0,the graph falls to the left and rises to the right.
If n is odd,and An＜0,the graph rises to the left and falls to the right.
If n is even,and An ＞0,the graph rises to the left and right
If n is even,and An＜0,the graph falls to the left and right
An 是最高次项的系数
这里该怎么理解?

答案

如果n(最高次）是偶数,并且An（最高项系数）>0,那么图像左边下降,右边上升；
如果n是偶数且An0,那么图像从左到右都上升
如果n是奇数且An