# Visualizing epsilon & delta

- Author:
- weinbergmath

The graph of y = x^2 is shown in the graph. An interval on the x-axis has been created for you. The point in the middle and the left end-point can both move to change the width of the box. The y-coordinate of the point is indicated by the dotted red line.
How close to the x-value do the ends of the interval need to be in order for the height of the box to be less than 0.5?