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# Curves, Tangents and Asymptotes

### Can You Find ... Cubic Edition

### Can You Find ... Asymptote Edition

### A Tangent Is ...

### Transformation ... or Not?

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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...