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Winniarti Donyada Mathematics 401 --> B 18th November 2004 Internal Assessment Portfolio Finding Zeros of Functions Part 1 a) Let g(x) = cos x. Show graphically that g(x) has one fixed point between x = 0 and x = 2. In the introduction of the exercise, it mentions that the fixed point of the function g(x) is the point where the y = x line intersects the y = g(x) curve. And since it was given that g(x) = cos x, a substitution can be done to say that the fixed point, is the point where the y = x line intersects the g(x) = cos x curve. When a close up is made, as shown below, it can be seen that the fixed point is between x = 0 and x = 2 as suggested. Therefore, the fixed point is (0.739, 0.739). ...

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