https://file.aiquickdraw.com/mathbot/file/1727776189544rnord287.jpg

The image you uploaded contains seven graphs, each with corresponding questions asking for limits and function values at specific points. I will analyze each question based on the provided graphs:

### 1. Graph 1
- **Graph**: The function appears to be decreasing as \( x \to -\infty \) and increasing as \( x \to \infty \).
- **Questions**:
  - \( \lim_{x \to -\infty} f(x) \): Check the behavior as \( x \) approaches negative infinity.
  - \( \lim_{x \to \infty} f(x) \): Check the behavior as \( x \) approaches positive infinity.
  - \( f(3) \): Look at the value of the function at \( x = 3 \).
  
### 2. Graph 2
- **Graph**: An increasing exponential-like function.
- **Questions**:
  - \( \lim_{x \to -\infty} f(x) \): Observe how the function behaves as \( x \) approaches negative infinity.
  - \( \lim_{x \to \infty} f(x) \): Observe how the function behaves as \( x \) approaches positive infinity.
  - \( f(2) \): Find the value of the function at \( x = 2 \).
  
### 3. Graph 3
- **Graph**: A wavy function with several peaks and valleys.
- **Questions**:
  - \( \lim_{x \to -\infty} f(x) \): Observe the behavior as \( x \) approaches negative infinity.
  - \( \lim_{x \to \infty} f(x) \): Observe the behavior as \( x \) approaches positive infinity.
  - \( f(0) \): Check the function value at \( x = 0 \).
  
### 4. Graph 4
- **Graph**: A step function with several discrete points.
- **Questions**:
  - \( \lim_{x \to 1^-} f(x) \): The limit from the left of \( x = 1 \).
  - \( \lim_{x \to 1^+} f(x) \): The limit from the right of \( x = 1 \).
  - \( f(1) \): Check the function value at \( x = 1 \).
  
### 5. Graph 5
- **Graph**: A function with an inverted parabola-like structure.
- **Questions**:
  - \( \lim_{x \to -\infty} f(x) \): Observe the behavior as \( x \) approaches negative infinity.
  - \( \lim_{x \to \infty} f(x) \): Observe the behavior as \( x \) approaches positive infinity.
  - \( f(-2) \): Find the value of the function at \( x = -2 \).

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Let me know if you'd like me to go through each one in detail with values, or if you need further clarification on the limits and function behaviors! 

Here are some additional questions that might deepen your understanding:
1. How do you determine limits from graphs at positive or negative infinity?
2. What are the key visual indicators for identifying a function's value at a specific point?
3. How do left-hand and right-hand limits differ in step functions?
4. What types of functions approach specific values at infinity?
5. Can a function be continuous but still have undefined values at specific points?

**Tip**: When analyzing a graph, always check for continuity and whether the function approaches a fixed value or exhibits different behavior when approaching from the left and the right.

Help with graph limits and function values.

Analyze graphs to determine limits as x approaches positive or negative infinity, find left and right-hand limits, and evaluate function values at specific points. This content covers key calculus concepts suitable for students in Grades 11-12.

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