Comparing Graphical and Algebraic Slope Estimation
This multi-part question explores the comparison between a slope estimated from a graph and the exact slope obtained via differentiation. Answer the following parts accordingly:
Part a
A graph of the function \(f(x)\) is described as having a straight-line segment near \(x = 2\) with two identifiable points: \((1, 2)\) and \((3, 6)\). Estimate the slope of \(f(x)\) at \(x = 2\) based on these points.