Question

Find a) a simple basic function as a right end behavior model and b) a simple basic function as a left end behavior model for the function: y=x^2+sinx

Answer 1

What happens as x approaches large values of x, like 1,000 or 10,000?

Also consider x = -1,000 or x = -10,0000?

The sin x part of the function just bounces between -1 and 1 while the \[x ^{2}\] part grows very fast.

This tells us the \[x ^{2}\] part pwns the function and is the left and right ending behavior. OK?