https://file.aiquickdraw.com/mathbot/file/17370382159333jb00bmi.jpg

as x= positive infinity, f(x) ---> a. negative infinity b. positive infinity c. 3 d. 2

The question asks us to determine the behavior of \( f(x) \) as \( x \to +\infty \) based on the graph provided.

### Analysis of the Graph:
1. As \( x \to +\infty \), the red curve moves downward, suggesting that \( f(x) \to -\infty \).
2. The graph confirms a negative trend for \( f(x) \) without any signs of leveling off or stabilizing.

### Conclusion:
The correct answer is **(a) negative infinity**.

---

Would you like a detailed explanation of how this conclusion was reached or any additional help?  

### Related Questions:
1. What is the behavior of \( f(x) \) as \( x \to -\infty \)?
2. What kind of function might this graph represent (e.g., rational, exponential)?
3. What are the key features of the graph, such as intercepts and asymptotes?
4. How can limits help in predicting the behavior of functions at infinity?
5. Can you describe the domain and range of \( f(x) \) based on this graph?

### Tip:
When analyzing graphs, always look for trends and asymptotic behavior to determine the limits at infinity.

As x → +∞, f(x) → a. negative infinity b. positive infinity c. 3 d. 2

Analyze the graph of f(x) to determine its behavior as x approaches positive infinity. Learn about limits, asymptotic behavior, and key graph trends. Suitable for high school students studying calculus and pre-calculus.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation