Analysis the mapping of open intervals

Reference no: EM13203259

(a) The function f(x) := (x - l)(x - 2)(x - 3)(x - 4)(x - 5) has five roots in the interval [0, 7]. If the Bisection Method is applied on this interval, which of the roots is located?

(b) Same question for g(x) := (x - 2)(x - 3)(x - 4)(x - 5)(x - 6) on the interval[0,7].

(c) Examine the mapping of open [respectively, closed] intervals under the functions g(x) := 1/(x^2 + 1) and h(x) := x^3 for x in R

Reference no: EM13203259

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