Changing Behavior of Open Graphs

What does it mean for a graph to be increasing over an interval? Decreasing? Constant?

What can a graph look like when it is ONLY increasing? Decreasing? Constant?

Is it possible for a graph to be both increasing and decreasing?

Is it possible for a graph to be neither increasing nor decreasing?

Can two intervals of a graph look different and yet both be increasing?

What happens when two adjacent intervals of the graph exhibit the same behavior?

Move the points so that part of the graph looks like a quadratic function. Over what intervals is it increasing, decreasing, or constant?

Could the graph of an exponential function (like ) have intervals that are increasing, decreasing, or constant?

How does the behavior of a quadratic function compare to the behavior of an exponential function?

Can a function be increasing, decreasing or constant at a single point? Why or why not?