Looking at the graph, we can observe the behavior of the function as $x$ approaches positive and negative infinity.

• The upper horizontal asymptote: As $x$ goes to infinity (to the right side), the function approaches $y = 1$. This can be observed as the function flattens out near $y = 1$ for large positive values of $x$.

• The lower horizontal asymptote: As $x$ goes to negative infinity (to the left side), the function approaches $y = -2$. This can be seen as the function flattens out near $y = -2$ for large negative values of $x$.

Therefore, the equations of the horizontal asymptotes are:

• Upper asymptote: $y = 1$
• Lower asymptote: $y = -2$

Would you like more details on how to find horizontal asymptotes or clarification on any part?

Here are some related questions for practice:

1. How do you calculate horizontal asymptotes for rational functions?
2. What is the difference between horizontal and vertical asymptotes?
3. Can a function have more than one horizontal asymptote?
4. How do horizontal asymptotes affect the behavior of a function at infinity?
5. Can horizontal asymptotes cross the graph of a function?

Tip: Always check the behavior of a function as $x \to \infty$ and $x \to -\infty$ to determine horizontal asymptotes.