1ls3_lectures181920

Linear approximabons the secant line connecbng points

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Unformatted text preview: funcBons with polynomials in order to simplify calculaBons. Linear funcBons are the simplest polynomials and can be used to represent a more complicated funcBon in many situaBons. Linear ApproximaBons The secant line connecBng points (a, f(a)) and (b, f(b)) on the graph of f(x) provides a decent linear approximaBon to f(x) for x- values in the interval [a, b]. The tangent line to the graph of f(x) at (a, f(a)) provides the best linear (straight line) approximaBon to f(x) near x=a. Linear (or tangent line) approximaBon to f(x) around x=a: L( x )...
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