The question asks to determine the limit of the function $f(x)$ as $x$ approaches $-1^+$ (i.e., from the right side) based on the graph.

Looking at the graph:

• The function $f(x)$ is continuous as $x$ approaches $-1$ from the right-hand side.
• As $x$ approaches $-1^+$, the graph shows the function's value heading towards $2$ from above.

Therefore, based on the graph, we have:

$\lim_{x \to -1^+} f(x) = 2$

So, the correct answer is c. 2.

Would you like more details, or do you have any questions about this?

Here are 5 related questions to expand on this:

1. What is the left-hand limit of $f(x)$ as $x \to -1^-$?
2. What does it mean for a function to have a right-hand limit?
3. How do we interpret discontinuities in a function from a graph?
4. What if the graph had a jump at $x = -1$, how would that affect the limit?
5. What is the importance of limits in understanding the behavior of functions?

Tip: When analyzing limits from graphs, always check the behavior of the function from both sides of the point you're interested in.