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Approximating Values of a Function

Applying local linearity and linearization to approximate values of a function.

Mapped to AP College Board # CHA-3.F, CHA-3.F.1, CHA-3.F.2

Approximate a value on a curve using the equation of a tangent line. The tangent line is the graph of a locally linear approximation of the function near the point of tangency. For a tangent line approximation, the function’s behavior near the point of tangency may determine whether a tangent line value is an underestimate or an overestimate of the
corresponding function value.