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?
problem
Can you find ... cubic edition
Age
16 to 18
Challenge level
Can you find cubic functions which satisfy each condition?
problem
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?
problem
A tangent is ...
Age
16 to 18
Challenge level
What do we REALLY mean when we talk about a tangent to a curve?
problem
Transformation ... or not?
Age
16 to 18
Challenge level
This graph looks like a transformation of a familiar function...
