I see you've uploaded an image of a math test with a graph. It seems to involve analyzing a function's behavior, limits, and tangents at specific points. Let's break it down step by step.

Based on the problem:

1. You need to determine the limit of the function $f(x)$ at certain points and evaluate the function at those points.
2. You are asked to find the behavior of the function as it approaches specific values.
3. There is also a task related to the tangent to the curve at a specific point.

To help you better, I would need to analyze the graph in detail. Let me know if you'd like me to explain any specific part of this problem in more depth. Would you like me to go step by step through the questions?

Here are 5 questions that can guide you through this topic:

1. How do you calculate the limit of a function at a specific point from a graph?
2. What does the horizontal asymptote of a function represent in terms of limits?
3. How do you find the equation of a tangent line to a curve at a given point?
4. What is the difference between evaluating a function and finding its limit at a point?
5. How can you determine the variation table of a function?

Tip: Remember that the tangent line at a point represents the slope of the function at that point, which is the derivative of the function at that point.