The image you've provided is an "Identifying Functions" activity, where you examine various mappings, tables, and graphs to determine if each represents a function or not.

Here's a general guide to solve this type of activity:

1. Definition of a Function: A relation is a function if each input (or $x$-value) maps to exactly one output (or $y$-value). In other words, no $x$-value should repeat with a different $y$-value.

2. Analyzing Tables: For each table:

   • Check if there are any duplicate $x$-values with different $y$-values. If so, it’s not a function.

3. Analyzing Mappings: For each mapping diagram:

   • Verify that each element in the first set (usually the $x$-values) points to only one element in the second set (the $y$-values). If any $x$-value points to multiple $y$-values, it’s not a function.

4. Analyzing Graphs: For each graph:

   • Use the vertical line test: if a vertical line intersects the graph in more than one place, then it’s not a function.

Based on this, you can classify each section in the activity as either a "Function" or "Not a Function."

Would you like a detailed explanation for each part in the image, or do you have specific questions about one of the sections?

Here are 5 questions that expand upon this explanation:

1. How do mapping diagrams help in understanding functions better than tables?
2. What are some real-life examples where only one output is allowed for each input?
3. Can a function have repeating $y$-values? Why or why not?
4. How does the vertical line test relate to the definition of a function?
5. What would the opposite of a function look like in real-world scenarios?

Tip: When analyzing functions in different formats, always look for consistency in $x$-values mapping to a unique $y$-value as the first step!