A function is an equation that has only one answer for y for every x.

A function assigns exactly one output to each input of a specified type.

It is common to name a function either f(x) or g(x) instead of y.

f(2) means that we should find the value of our function when x equals 2.

## What defines a function in algebra?

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output. We can write the statement that f is a function from X to Y using the function notation f:X→Y.

## WHAT IS function and example?

Function examples. A function is a mapping from a set of inputs (the domain) to a set of possible outputs (the codomain). 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.

## How do you write a function in algebra?

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## How do you find a function?

It is relatively easy to determine whether an equation is a function by solving for y. When you are given an equation and a specific value for x, there should only be one corresponding y-value for that x-value. For example, y = x + 1 is a function because y will always be one greater than x.

## What is a function in algebra example?

Set of Ordered Pairs

A function can then be defined as a set of ordered pairs: Example: {(2,4), (3,5), (7,3)} is a function that says. “2 is related to 4”, “3 is related to 5” and “7 is related 3”. Also, notice that: the domain is {2,3,7} (the input values)

## What makes a graph a function?

The graph of the function is the set of all points (x,y) in the plane that satisfies the equation y=f(x) y = f ( x ) . If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output.

## What makes a relation a function?

A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y. That is, given an element x in X, there is only one element in Y that x is related to. This is a function since each element from X is related to only one element in Y.

## What is not a function?

Functions. A function is a relation in which each input has only one output. In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.

## What do u mean by variable?

In programming, a variable is a value that can change, depending on conditions or on information passed to the program. Typically, a program consists of instruction s that tell the computer what to do and data that the program uses when it is running.