Here is the graph of the function $f(x) = |x| + 1$. It shows a V-shaped curve starting at the point (0, 1) and rising symmetrically on both sides, illustrating how the absolute value affects the graph.

Would you like a detailed explanation of this graph, or do you have any questions about it?

Here are a few related questions you might find interesting:

1. How does the graph of $f(x) = |x|$ differ from $f(x) = |x| + 1$?
2. What happens to the graph if we change the equation to $f(x) = |x - 2| + 1$?
3. How would you graph $f(x) = |x| - 3$?
4. Can you identify the vertex of the graph and explain its significance?
5. What are the key differences between the graphs of linear and absolute value functions?

Tip: Absolute value functions always form a V-shape and their graphs are symmetric with respect to the vertical line passing through the vertex.