A function is a relation between a set of inputs and a set of possible outputs. Each input is related to exactly one output.
A function is often denoted by a letter such as f. The input variable is typically denoted by x, and the output variable is denoted by f(x).
Function notation is a way to represent a function as an equation. For example, if f represents a function, then f(x) = 2x + 3 is the equation for the function.
Here are some examples of functions:
1. Determine the domain and range of the function f(x) = 3x - 1.
2. Use the vertical line test to determine if the relation given by the graph y = x2 is a function.
Understanding the concept of functions and their notation is essential for further studies in mathematics. Be sure to practice identifying functions and determining their domains and ranges.
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