# Let's look at basic examples of functions

For those who don’t know, a function is where an input is associated with an output. This basically signifies the fact that the output is basically dependent over the input. Now, an example of a function in its most basic form typically is:

Here in, f of x is equal to x squared. Also, what needs to be placed in to the function is going to replace X alongside the name of the function. Now, let us consider an example where we input 3 into the function:

F(x) = x 2

This means that the equation is going to become:

F(4) = (4) 2

Hence, the result of this function will be:

F(4) = 16

## More examples of math functions

In order to help you understand how functions are to be solved, here are a few more examples of math functions:

For our first example of function, let us consider that: f(x) = x2 + 2x + 1 wherein we need to find the value of f(2). This means that the value given to x is that of 2. So, when we apply the value x = 2 in this particular function, we will get:

f(x) = 22 + 2 x 2 + 1

Upon computing the values, we will get:

F(x) =  4 + 4 + 1

This means that the final value of x is going to be:

F(x) = 9.

See how easy it is to understand functions with the help of examples of functions! Now, let us move on to another example. Here we will consider the function: f(x) = x2 + 4x + 3 wherein the function equals to zero. With that information, the function becomes: x2 + 4x + 3  = 0. Now, when getting down to solve the equation, we receive:

(x + 1)(x + 3)  = 0

x = -1 or x = -3.

f(-1) = (-1)2 + 4 x -1 + 3

= 1 – 4 + 3

= 0

f(-3) = (-3)2 + 4 x -3 + 3

= 9 – 12 + 3

= 0

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