the slope of a curve
What is the slope of a curve? Look at the graph of y = x^{2}. Draw lines on the curve to represent a slope of 10, 1, 0, 1, and 10.

Extensions 
Examine the slope between two points on the graph that are very close together. For example, at x = 2, you may want to look at the slope between 1.99 and 2.01. Repeat this process at various parts of the graph. Describe the relationship between the xcoordinate you center on and the slope you find.


Related External Resources 
Submit your idea for an investigation to InterMath.
