# Curves, Tangents and Asymptotes

### Curves, Tangents and Asymptotes

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...