Functions and their properties

Function Theory (Lesson 1/5)

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Function as a mathematical machine

A function is like a mathematical machine, you put in a number and it gives you exactly one number back. If you put in the same number multiple times, you will always get the same number out.

An example of a function is the rule "double the input and add 1".

If you input 3, it doubles to make 6, thenwe add1toget an output of7

If you input −5, it doubles to make −10, thenwe add1toget an output of−9