SOLUTION: what are differences between expressions and functions? if we can find solution to expression in order to find the variable why functions were introduced?

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Question 893224: what are differences between expressions and functions? if we can find solution to expression in order to find the variable why functions were introduced?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
An expression is like a phrase or a clause; a function is like a sentence.
One can evaluate an expression; and one can evaluate a function for a given value for an input variable.


Another attempt:

An expression is a number. The number can be written with plain numbers and variables, or it can be written just in variables.
x%5E2, 4%281%2F2%29-3x, x%5E3%2B13, or any such way of writing a number is an expression.

A function is, for your purpose, a statement usually using symbols and numbers, that some number with a name is equal to an expression. The name for the function is given a letter like f, or g, or h, or sometimes other letters.
f(x) or g(x) or h(x) is a name of a function. A function is often written as an equation, for example:
f%28x%29=%28x-3%29%5E2 or f%28x%29=%28x%2B10%29%2F%282x-1%29 or g%28x%29=x%5E2.
The left side of the equation is a number. The right side of the equation is a number.

We can use functions to say that a quantity (the name of the function) depends on the value of a variable.
If we have a function like f%28x%29=x%5E2, then this means the value of f depends on the value of x.
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If we want x=-3, then we can find f%28-3%29=%28-3%29%5E2, which means f%28-3%29=9.
If we want x=7, then we can find f%287%29=%287%29%5E2, which is f%287%29=49.