arrow_back In this family of pages, you are given the graph of a function, and you should explore how the definition of continuity works with this function.

The function is drawn on the range -5 < x < 10 and -5 < y < 10. You should enter a value of epsilon and then explore the consequences for your picture as you pick different values of delta

Of course, the function is continuous on the whole domain, but you should concentrate on graphically analyzing the fact that

f(x) is continuous at x = 6

First, pick a value of epsilon that you would like to work with. (Values between 3 and 0.25 will look good on this scale.)

Enter a value for epsilon: Hit enter, or press here: