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?
Can you find cubic functions which satisfy each condition?
Given a sketch of a curve with asymptotes, can you find an appropriate function?
What do we REALLY mean when we talk about a tangent to a curve?
This graph looks like a transformation of a familiar function...