APFIVE For a sufficiently smooth function near a point, several approximation techniques can be used to estimate function values. Rank the following methods in order of increasing accuracy (from the least accurate to the most accurate) for approximating small changes:
(i) Using a secant line between two points,
(ii) Using the linearization (tangent line) at the point,
(iii) Using the quadratic approximation (second-order Taylor expansion),
(iv) Using the cubic approximation (third-order Taylor expansion).
secant line, tangent line, quadratic approximation, cubic approximation
tangent line, quadratic approximation, cubic approximation, secant line
secant line, quadratic approximation, tangent line, cubic approximation
tangent line, secant line, quadratic approximation, cubic approximation
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