Question

Which of the following best describes the end behavior of y=x^2 -bx +c as x approaches either positive or negative infinity?

A.) y approaches positive infinity

B.) y approaches positive infinity

C.) y approaches c

D.) y approaches -c/b

Answer 1

As x approaches either positive or negative infinity, y will approach positive infinity.
This is because x^2 will grow large much quicker than b*x, so it has more importance. So when considering the limit, we can imagine that the equation looks like this:
y = x^2
This equation will go to infinity for x approaching both negative and positive infinity.