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 a function in mathematics?

2. How can you determine if a set of points represents a function?
3. What is the vertical line test?
4. Why is it important for a graph to pass the vertical line test to be considered a function?
5. Can a function have two different outputs for the same input?
6. How can you represent a function algebraically?
7. What is the domain and range of a function?
8. Can a function have an infinite number of inputs and outputs?
9. What is the difference between a linear function and a quadratic function?
10. How can you determine if a function is increasing, decreasing, or constant?