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The image contains a worksheet focusing on functions and continuity, specifically dealing with the concepts of domain, range, and whether a given relation is a function. Below is a breakdown of the tasks:

### Problems and Instructions on the Worksheet:
1. **Identifying Functions and Their Domains/Ranges:**
   - **Problems 1 & 2:** 
     - These involve identifying if a given mapping is a function and determining the domain and range.
   - **Problems 3 & 4:**
     - These involve determining if a graph represents a function and identifying the domain and range.

2. **Graphing Relations or Functions:**
   - **Problems 5 & 6:**
     - Given a set of ordered pairs, graph the relation, then identify the domain and range, and decide if the relation is a function.

3. **Composite Functions and Range Identification:**
   - **Problems 7 & 8:**
     - Here, the task is to evaluate composite functions and determine the domain and range.

Would you like help solving a specific problem, or should I go through each one in detail?

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### Questions for Further Exploration:
1. What is the difference between a function and a general relation?
2. How can you determine the domain and range from a set of ordered pairs?
3. What is the vertical line test, and how does it determine if a graph represents a function?
4. Can the domain of a function include negative values, and under what conditions?
5. How do you find the composite function \( (f \circ g)(x) \) given \( f(x) \) and \( g(x) \)?

### Tip:
When evaluating whether a graph represents a function, use the vertical line test: if any vertical line crosses the graph more than once, the graph does not represent a function.

The user submitted an image of a worksheet focusing on functions and continuity, specifically dealing with the concepts of domain, range, and determining whether a given relation is a function.

This worksheet covers key algebraic concepts including functions, domains, ranges, and composite functions. Learn how to determine if a relation is a function, graph relations, and understand the vertical line test. Suitable for students in Grades 10-11.

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