# Question #3fe19

Dec 7, 2017

Undefined

#### Explanation:

When we see an $F \left(x\right)$ we know this is a function. Now what a function?

A function is simply an equation that has an input and a related output.

Lets say for a second that $F \left(x\right) = {x}^{2}$
This is saying that if I put in some number $\left(x\right)$ I will get out a new number, $F \left(x\right)$

I would also like to point out that $F \left(x\right)$ is the same as writing $y$. The only difference is that $F \left(x\right)$ is used exclusively for functions.

Ok, lets go back to the equation $F \left(x\right) = {x}^{2}$
Lets try to find $F \left(2\right)$ of that equation

Well, to do this we just plug in $2$ for the $x$ in the equation!
$F \left(x\right) = {2}^{2}$
$F \left(x\right) = 4$

Thats all there is to it!
Lets try doing $F \left(4\right)$ this time.
$F \left(x\right) = {4}^{2}$
$F \left(x\right) = 16$

Although functions can get much more difficult, that is the general idea of a function! Hope this helps!
~Chandler Dowd