Functions and Equations

An equation is a statement where two expressions are equal. Here left and right side will be equal. 

Suppose x + 3 = 10. For a particular value x, the equation will be satisfied. If x=7 then 7+3=10. The left and right side are equal.

Function is a bit different. It is a relationship between two variables. Function is written as f(x)=x+3. It takes a set of value as input and return a particular output. The input variable f(x) is called Independent variable because it takes input as f(0),f(1),f(2) etc. and returns corresponding output as 3,4,5 etc. x + 3 is dependent on f(x) that's why x+3 is called as Dependent variable.

In equation, we need a particular value of variable to make it equal where function takes a set of  permissible input and returns regarding output.