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So again whatever is on the inside of the parenthesis on the left is plugged in for x x in the equation on the right.
Definition of function in mathematics with example. Here s another evaluation for this function. A function is one or more rules that are applied to an input and yield an output. F 6 6 2 5 6 3 36 30 3 69 f 6 6 2 5 6 3 36 30 3 69. The output is the number or value the function gives out.
The definition of a function is based on a set of ordered pairs where the first element in each pair is from the domain and the second is from the codomain. A b a relation from a to b is a function if every element of set a has one and only one image in set b. Other types of series and also infinite products may be used when convenient. A function is a mapping from a set of inputs the domain to a set of possible outputs the codomain.
For example the function f x 2x has the inverse function f 1 x x 2. A function may be defined by means of a power series. But a metaphor that makes the idea of a function easier to understand is the function machine where an input x from the domain x is fed into the machine and the machine spits out the element y f x from the codomain y. The input is the number or value put into a function.
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