Functions – understand how to do them, including the hard ones

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What is a function?

In primary school when maths was more pictures and colouring and less fear and anxiety, you may have come across something like this:

 A function made fun. It adds 10 to any number that goes into it and outputs the result.
A function made fun. It adds 10 to any number that goes into it and outputs the result.

Now, sadly we don’t get the fun robot anymore, instead we get something that looks like this:

f(x) = x + 10

That is the maths way to write what’s happening in the picture above.

It means that whatever x is, add 10 to it. X is the input.

If we want to input 5 we can write:

f(5) = 5 + 10

f(5) = 15

So basically we replace x with 5 and then work it out.

Here are some practice questions

Composite Functions:

Functions can also be combined.

You can put one function inside another.

(more examples and explanations coming soon)

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