Explicit functions
Explicit functions, in mathematics, are functions that can be expressed in an explicit or direct form, where the input is directly related to the output
Explicit functions, in mathematics, are functions that can be expressed in an explicit or direct form, where the input is directly related to the output. In other words, an explicit function gives a clear and specific formula or expression for the dependent variable (usually denoted as “y”) in terms of the independent variable (usually denoted as “x”).
For example, consider the following explicit function:
y = 2x + 3
In this function, the dependent variable “y” is expressed in terms of the independent variable “x” through the formula 2x + 3. This means that for any given value of “x”, we can easily determine the corresponding value of “y” by plugging in the value of “x” into the formula and evaluating it.
Explicit functions are commonly used in various mathematical contexts, including algebra, calculus, and other branches of mathematics. They are particularly useful when we want to explicitly describe the relationship between two variables or when we want to find specific values of the dependent variable for given values of the independent variable.
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