... root using decimal search. x f(x) 1 -1 1.1 -0.779 1.2 -0.512 1.3 -0.193 1.4 0.184 1.5 0.625 1.6 1.136 1.7 1.723 1.8 2.392 1.9 3.149 2 4 * Tabulate f (x) for 10, the maximum error is 1.3533 -1.3532 = 0.0001, which is more than sufficient to give the root correct to 3 decimal places as ? = 1.353 Example for problems with change of sign method If the curve touches the x-axis without crossing it, there will be no change of sign, so change of sign methods are doomed to failure. For example, has a repeated rational root, which can be expressed ...

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