APFIVE Properties Of Piecewise Linear Approximations
All of the following statements concerning piecewise linear approximations of a function are true EXCEPT:
A
A piecewise linear approximation always gives an overestimate of the area under any curve.
B
The error in a piecewise linear approximation depends on the curvature of the actual function over the subintervals.
C
Trapezoidal sums are a form of piecewise linear approximation since they use straight-line segments.
D
Piecewise linear approximations can be used to simplify the estimation of areas when the function is not known explicitly.
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