A function is a rule that relates to what

Answer 1

A function is a mathematical rule that relates an input to a single output. In more formal terms, a function takes an element from a set called the domain and assigns it to exactly one element in another set called the codomain. This relationship can be expressed in various forms, such as equations, graphs, or tables. For example, in the case of the function \( f(x) = x^2 \), the input \( x \) from the domain (e.g., real numbers) is mapped to a unique output \( f(x) \) in the codomain (in this case, the set of non-negative real numbers). Functions are essential in mathematics and are used to model relationships and changes between variables in various fields.