4. In class, we used both graphical and table methods to develop the idea that we...

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4. In class, we used both graphical and table methods to develop the idea that we can take a series of secant lines (lines that pass through two points of a function) and use them to approximate a tangent line. While the secant lines give us an approximate change, the tangent line gives us an instantaneous rate of change or the slopel/steepness of a graph at a single point. Do you this method always works? Does every point on every graph have an associated specific example. Below is the graph of the function V2-x tangent line that could give us a slope? Lets look at a (2, o) Lets use our secant line method to look at what Is happening at the point (2,0): Here is a series of secant lines to consider Based on this, what is your prediction for the instantaneous rate of change at the point (2,0)? Be sure to explain your reasoning

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