Answer to Question #322444 in Math for Jaguar

Question

Question 1 [10 marks]

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.

(For Questions 2 to 5)

Consider the function f(x) = x

3 − 2x

2 − 4x + 2.