Discrete Math Onto Function

The set of all inputs for a function is called the domain the set of all allowable outputs is called the codomain we would write f x to y to describe a function with name f text domain x and codomain y text. We call the output the image of the input. F x1 f x2 x1 x2.

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A function is a rule that assigns each input exactly one output.

Discrete math onto function. A b is surjective onto if the image of f equals its range. In discrete math we can still use any of these to describe functions but we can also be more specific since we are primarily concerned with functions that have n or a finite subset of n as their domain. Onto means that all the values in the receiving set range set will get hit by the function when it maps a value from the input set domain here both sets are defined as the natural numbers. A function that is not one to one is referred to as many to one.

Describing a function graphically usually means drawing the graph of the function. This means that for any y in b there exists some x in a such that y f x. For all elements x1 x2 a. Equivalently for every b b there exists some a a such that f a b.

A one to one function is also called an injection and we call a function injective if it is one to one. Plotting the points on the plane. Onto functions focus on the codomain. A b is said to be one to one if.

We want to know if it contains elements not associated with any element in the domain.