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 Age 16 to 18 Challenge Level:
Can you find cubic functions which satisfy each condition?
Can You Find ... Asymptote Edition Age 16 to 18 Challenge Level:
Given a sketch of a curve with asymptotes, can you find an appropriate function?
A Tangent Is ... Age 16 to 18 Challenge Level:
What do we REALLY mean when we talk about a tangent to a curve?
Transformation ... or Not? Age 16 to 18 Challenge Level:
This graph looks like a transformation of a familiar function...
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.