Question 1
To have an idea on whether we should apply the bisection method to determine the root of f(x) = 0
in a given interval, we may
(1) draw the graph of f(x) and observe the graphs then conclude
(2) check if f(x) and f'(x) are continuous then conclude
(3) apply the function f(x) to the endpoints of the given interval and check the sign of the corre-
sponding outputs.
(4) check if f(x) has a critical point in the given interval
(5) check if f(x) has a point of inflection in the given interval.
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