How to show that a function is discontinuous at a point x=a because it is not defined there.
How to find a two-sided limit by investigating one-sided limits.
How to determine whether a function f(x) is continuous at a particular point x=a.
How to evaluate the limit of a function at points where it is not continuous.
How to define the derivative of a function at a point x=a.
How to find the average value of a function over an interval [a,b].
How to determine one-sided and two-sided limits from the graph of a function.
How to compute the average velocity of an object moving in one dimension from a graph of its position vs. time.