Answer the following questions about functions. (10 points) A series of points in the form (x,y) is a function if every -value is different.
A graph is a function if a vertical line passes through the graph at most time.
1. What is the definition of a function?
2. How can you determine if a series of points form a function?
3. How can you determine if a graph represents a function?
4. What is the relationship between the x-values and y-values in a function?
5. What is the importance of the vertical line test in determining a function?
6. Can a function have multiple y-values for the same x-value?
7. Can a function have multiple x-values for the same y-value?
8. What is the difference between a relation and a function?
9. How are functions used in mathematics and real-world applications?
10. Can you provide an example of a function and explain why it meets the criteria for being a function?