Plotted below is the result of the code from the previous activity. As you can see, the code created a new point whose x coordinate is 1, the same as [code]A[/code], but whose y coordinate is the slope of the secant line [code]g[/code]. I've hidden [code]h[/code] since we don't need it in this exercise. [br][br]Click and move [code]A[/code] along the graph of [code]f[/code]. Notice that the new point leaves a bread crumb trail. Can you describe this breadcrumb trail in words?

The breadcrumb trail is a record of the slopes of the line [code]g[/code] as [code]A[/code] moves along the graph of [code]f[/code].

Because this secant line almost matches the graph of [code]f(x)[/code] at point [code]A[/code], you might say that the slope of this secant line is "growing" at almost the same rate that [code]f(x)[/code] is growing at [code]A[/code]. Furthermore, as you move [code]A[/code] and leave a breadcrumb trail, you are keeping track of this estimate. We'll continue to think along these lines in the coming activities.