What is a constant function?

A constant function is a type of mathematical function where the output value is the same for every input value. In other words, the function does not change its value as the input changes.

A constant function is usually represented by the equation f(x) = c, where c is a constant value. This means that no matter what value of x you plug into the function, the output will always be equal to c.

Constant functions are often used in mathematical analysis, calculus, and statistics as they provide a simple and easy-to-understand example of a function. They are also used in modeling certain situations where a quantity remains constant over time or under certain conditions.

Graphically, a constant function is represented by a horizontal line on a coordinate plane, where the y-value is constant across all values of x. The slope of a line representing a constant function is always zero.