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'Exploring Simple Mappings' printed from

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The mapping below was created using the NRICH Number Plumber.

Click here to watch a video explaining how to use the Number Plumber.

Click on the mapping to explore the relationship between the function and its graph.

times 2, add three function machine

Now replace the 2 and 3 with other values. How does this affect the graph?

What happens when you try division instead of multiplication, or subtraction instead of addition?

Describe and explain any generalisations you make.