Tangent to a Graph Problem: If you worked correctly, you found that the instantaneous

Chapter 1, Problem c2

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Tangent to a Graph Problem: If you worked correctly, you found that the instantaneous rate of change of f(x) at x = 3 is exactly 1 y-unit per x-unit. Plot the graph of function f. On the same screen, plot a line through the point (3, f(3)) with slope 1. What do you notice about the line and the curve as you zoom in on the point (3, f(3))?

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