I want maximum questions of graphs from the chapter Relations and Functions immediately.

Understanding Relations and Functions
In mathematics, the concepts of relations and functions are fundamental to understanding how different quantities interact.
What is a Relation?
- A relation is a set of ordered pairs, where each pair consists of an input and its corresponding output.
- For example, if we have a set of points (x, y), then the relation can be expressed as R = {(1, 2), (2, 3), (3, 5)}.
- Relations can be classified as one-to-one, onto, or many-to-one based on their properties.
What is a Function?
- A function is a special type of relation where each input is associated with exactly one output.
- In other words, for every x-value in the domain, there is a unique y-value in the range.
- The notation f(x) is commonly used to denote functions, where x is the input and f(x) is the output.
Graphing Functions
- The graph of a function is a visual representation of the ordered pairs (x, f(x)).
- To determine if a relation is a function, the vertical line test can be employed: if a vertical line intersects the graph at more than one point, the relation is not a function.
Key Properties of Functions
- Domain: The set of all possible input values (x-values).
- Range: The set of all possible output values (y-values).
- Types of Functions: Functions can be linear, quadratic, polynomial, exponential, etc.
Conclusion
Understanding relations and functions is crucial in mathematics as they form the basis for more complex concepts. Mastering their definitions, properties, and graphical representations will enhance your analytical skills in various mathematical contexts.