Functions

A function is a method used to show what happens when a number is inputted into a ‘mathematical machine’, it goes through the process and is the outputted.

A function in these examples such as the ones below are the change(s) made to the original number inputted into the ‘mathematical machine’.

Examples

InputFunction = multiply by 3Output
22\times36
33\times39
44\times312
55\times315

In this example, as shown above, the function is ‘multiply by 3’.

Looking at a slightly more difficult example, we have:

xf(x)={ x }^{ 2 }+1f(x)
2{ 2 }^{ 2 }+15
33^{ 2 }+110
44^{ 2 }+117
55^{ 2 }+126

In this example, the function is x^2+1 because that is what changes the inputted number to give the output.