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

Question

Eden Key

Mathematics

5 October, 22:00

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

+3

Answers (1)

Know the Answer?

Craig Coleman · 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.

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 infinityB.) y approaches positive infinityC.) y approaches cD.) y approaches - c/b

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