Question

Describe the end behavior for function by writing a limit expression.

f(x)=2x^5-x+7

Answer 1

x^5 is positive for x>0
and negative for x<0.

So, the graph curves down on the left, and up on the right.

All you really need to look at is the highest power of x, which dominates everything for large values of x.

Answer 2

I appreciate your help. Thank you.