multiple functions compositions calculator

Output: The output of a function is the result of applying the function to the input value(s).It's the value for which you want to determine the corresponding output. Input: The input of a function is the value of its variable you provide as an argument to the function.It represents the values that the function actually produces. Range: The range of a function is the set of all actual output values.It represents the values that the function can produce. Codomain: The codomain of a function is the set of all possible output values.It defines where the function is defined or valid. Domain: The domain of a function is the set of all possible input values.By the way, it is not one-to-one, since there are two elements, namely $$$-2 $$$ and $$$2 $$$, that give $$$4 $$$. In the notation $$$f(x) $$$ $$$f $$$ is the function symbol and $$$x $$$ represents the input variable.įor example, $$$f(x)=x^2 $$$ is a quadratic function. The function is called one-to-one if no two elements from its domain give the same element from the range.įunctions are typically denoted using various notations. The set of such values forms the output set (range, codomain). In mathematics, a function is a formula that, for every value from the input set (domain), produces some value.

The calculator will quickly display the properties of the function. If necessary, enter the interval which you are interested in.Ĭlick the 'Calculate' button to start the process. How to Use the Function Calculator?Įnter the function you want to analyze.

Easily explore functions by examining their parity, domain, range, intercepts, critical points, intervals of increase/decrease, local and global extrema, concavity intervals, inflection points, derivatives, integrals, asymptotes, and so on. The Function Calculator is a tool that allows you to many properties of functions.

Multiple functions compositions calculator