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I see you've uploaded a problem involving drawing graphs with specific properties. Here's a breakdown of the requirements for each graph:

- **Graph A**:
  - \( f(-2) = 2 \) 
  - \( \lim_{x \to -2} f(x) = -1 \)
  - The line \( x = -2 \) is a vertical asymptote.
  
- **Graph B**:
  - \( f(0) = 1 \)
  - The function is continuous at \( x = 0 \).
  
- **Graph C**:
  - \( f(3) = 4 \)
  - \( \lim_{x \to 3^+} f(x) = 4 \)
  - \( \lim_{x \to 3^-} f(x) = 2 \)

- **Graph D**:
  - This graph should include all the properties from A, B, and C.

Would you like me to walk you through how to sketch these graphs, or would you prefer to see them visualized first?

Draw four graphs (A, B, C, and D) where the functions are defined for all x-values, and Graphs A, B, and C have all the following properties in the listed below: 

Graph A:
  f(-2) = 2
  lim(x -> -2) f(x) = -1
  The line x = -2 is a vertical asymptote.

Graph B:
  f(0) = 1
  f is continuous at x = 0.

Graph C:
  f(3) = 4
  lim(x -> 3+) f(x) = 4
  lim(x -> 3-) f(x) = 2

For Graph D, draw a graph with ALL the properties in ALL THREE columns.

Explore how to draw graphs of functions with given limits, continuity conditions, and vertical asymptotes. This problem involves important concepts in function graphing, including limits, continuity, and asymptotes. Suitable for students in Grades 9-11.

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