To solve this problem, we need to understand that if a function $f(x)$ contains a point $(a, b)$, then its inverse function $f^{-1}(x)$ must include the point $(b, a)$. This means the x and y values are swapped in the inverse function.

The points provided for $f(x)$ are:

• $(2, 3)$
• $(-5, 1)$
• $(10, -3)$

For the inverse function $f^{-1}(x)$, the corresponding points will be:

• $(3, 2)$ from $(2, 3)$
• $(1, -5)$ from $(-5, 1)$
• $(-3, 10)$ from $(10, -3)$

Now, let's check which points match these in the options provided:

• B. $(-3, 10)$
• F. $(3, 2)$

So, the correct answers are:

B and F.

Would you like further clarification or details?

Here are 5 questions to deepen understanding:

1. What is the relationship between a function and its inverse?
2. How do we identify points in the inverse function graph?
3. How would the point $(7, 4)$ in $f(x)$ transform in $f^{-1}(x)$?
4. Can a function have more than one inverse?
5. What conditions must a function satisfy to have an inverse?

Tip: Always remember that the graph of a function and its inverse are reflections across the line $y = x$.