### Home > CALC > Chapter 4 > Lesson 4.4.3 > Problem4-156

4-156.

For the following functions, find an end behavior function. Explain your method.

1. $y = \frac { 6 } { x } + 2 x ^ { 2 }$

Consider: $\lim\limits_{x\rightarrow \infty }\frac{6}{x}+2x^{2}.$

2. $y = \frac { \operatorname { sin } x } { x }$

If a function has a horizontal asymptote, then that is the end behavior.

3. $y = \frac { x ^ { 2 } - 3 x - 10 } { x ^ { 2 } + 1 }$

If a function has a horizontal asymptote, then that is the end behavior. You can find a horizontal asymptote by evaluating