https://file.aiquickdraw.com/mathbot/file/17273269774189mlyu6gs.jpg

To find the points for the inverse of the function given in the table, you need to switch the \( x \) and \( y \) values. The original points in the table are as follows:

\[
\begin{array}{c|c}
x & f(x) \\
\hline
-1 & 1 \\
0 & 2 \\
1 & 3 \\
2 & 4 \\
\end{array}
\]

For the inverse function, the coordinates \( (x, f(x)) \) become \( (f(x), x) \). So, the new points for the inverse are:

\[
\begin{array}{c|c}
f(x) & x \\
\hline
1 & -1 \\
2 & 0 \\
3 & 1 \\
4 & 2 \\
\end{array}
\]

Now, the points to plot on the graph for the inverse function are:
- \( (1, -1) \)
- \( (2, 0) \)
- \( (3, 1) \)
- \( (4, 2) \)

Plot these points on the graph using the drawing tool to represent the inverse function. Let me know if you need further clarification or if you have any questions!

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Here are five related questions you could explore next:
1. How do you find the inverse of a more complex function algebraically?
2. What are the conditions for a function to have an inverse?
3. Can every function have an inverse? Why or why not?
4. How does the graph of a function compare to the graph of its inverse?
5. What is the geometric relationship between a function and its inverse on the coordinate plane?

**Tip:** The inverse of a function reflects over the line \( y = x \) on a graph.

Use the drawing tools to form the correct answer on the graph. Given the table of values, plot the corresponding points for the inverse of the function.

Learn how to plot the inverse of a function given a set of points in a table. The problem involves switching x and y coordinates and plotting the resulting inverse points on the graph. Ideal for high school students.

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