Upper Secondary Big Button

Current

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?
Can You Find ... Cubic Edition link

Can You Find ... Cubic Edition live

Stage: 5 Challenge Level: Challenge Level:1

Can you find cubic functions which satisfy each condition?

Can You Find ... Asymptote Edition link

Can You Find ... Asymptote Edition live

Stage: 5 Challenge Level: Challenge Level:1

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

A Tangent Is ... link

A Tangent Is ... live

Stage: 5 Challenge Level: Challenge Level:1

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

Transformation ... or Not? link

Transformation ... or Not? live

Stage: 5 Challenge Level: Challenge Level:1

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