# 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) = x^{2} + 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) = 2^{2} + 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) = x^{2} + 4x + 3 wherein the function equals to zero. With that information, the function becomes: x^{2} + 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

Engineer
San Francisco, USA
"If you're at school or you just deal with mathematics, you need to use Studygeek.org. This thing is really helpful." |
Math Teacher
New-York, USA
"I will recommend Studygeek to students, who have some chalenges in mathematics. This Site has bunch of great lessons and examples. " |
Student, Designer
Philadelphia, USA
" I'm a geek, and I love this website. It really helped me during my math classes. Check it out) " |
Bookkeeper
Vancuver, Canada
"I use Studygeek.org a lot on a daily basis, helping my son with his geometry classes. Also, it has very cool math solver, which makes study process pretty fun" |