Function in mathematics an expression rule or law that defines a relationship between one variable the independent variable and another variable the dependent variable.
What is a function in math look like.
Here are two more examples of what functions look like.
For a relation to be a function each x value has to go to one and only one y value.
Y 3x 2 h 5x 4y let s examine the first example.
In other words y is a function of x.
Note that all i had to do to check whether the relation was a function was to look for duplicate x values.
In mathematics what distinguishes a function from a relation is that each x value in a function has one and only.
So f x shows us the function is called f and x goes in.
At first glance a function looks like a relation.
A function is a set of ordered pairs such as 0 1 5 22 11 9.
Like a relation a function has a domain and range made up of the x and y values of ordered pairs.
Although the complex plane looks like the ordinary.
And we usually see what a function does with the input.
What goes into the function is put inside parentheses after the name of the function.
In the function y 3x 2 the variable y represents the function of whatever inputs appear on the other side of the equation.
F x x 2 shows us that function f takes x and squares it.