The line between the two points on [code]f(x)[/code] is called a [b]Secant Line [/b]of the function [code]f(x)[/code]. Geogebra has automatically named this secant line [code]g[/code]. The slope of [code]g[/code] is currently 4.1. [br][br]Adjust [code]h[/code] with its slider. [br][list][*]Notice that as [code]h[/code] gets close to zero, the secant line almost perfectly matches the function [code]f(x)[/code] at point [code]A[/code]. [/*][*]When [code]h[/code] is exactly 0, the line disappears because two unique points are needed to determine a line.[/*][*]Pay close attention to the slope of the secant line when [code]h[/code] limits toward 0. Can you detect a trend?[/*][/list][br]Here's a bit of code you might use to help you ponder the question in the last bullet:[br][br][code](h, slope(g))[/code]

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