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### Number and algebra

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### Working mathematically

### For younger learners

### Advanced mathematics

# Curves, Tangents and Asymptotes

### Can You Find ... Cubic Edition

### Can You Find ... Asymptote Edition

### A Tangent Is ...

### Transformation ... or Not?

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### Making Sense of Statistics

### Integration as Area

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In this feature, we invite you to explore properties of graphs. Can you find functions whose graphs have the given properties? How does a graph change (or stay the same) when you transform it? And what do we really mean by a tangent?

Age 16 to 18

Challenge Level

Can you find cubic functions which satisfy each condition?

Age 16 to 18

Challenge Level

Given a sketch of a curve with asymptotes, can you find an appropriate function?

Age 16 to 18

Challenge Level

What do we REALLY mean when we talk about a tangent to a curve?

Age 16 to 18

Challenge Level

This graph looks like a transformation of a familiar function...

This collection of problems has been put together to help you to explore and understand important ideas in statistics.

These problems invite you to explore integration as area, and use area integrals to solve problems.