Pointwise Properties of Real Functions of a Single Real Variable
Pointwise Properties of Real Functions of a Single Real Variable
Drag the slider to move through the graph's points. Simultaneously, the function's properties at the visited point are updated in the diagram below using a pink disk. You can check the box "mark interesting points" to highlight some points that demonstrate interesting cases. The graph behaves like Dirichlet's function for like the function sin at and around the point , and like the function at and around the point .
-1<x<1,
2
x
1
x
x=0
x=-6
xsin
1
x
x=0
x=6