Need help. Please include explanation and working. Thank you. Question 6 (1 mark

Question

Need help. Please include explanation and working. Thank you.

Question 6 (1 mark) When finding the root of f(x)-0 on the interval [a, b] using the bisection method we know that f(a) 0. If c is the midpoint of the interval [a, b] and f(c) > 0 then in the bisection method we would? Which statement is correct? A The root is between c and b, so we put b = c and go to the next iteration. B The root is between a and c, so we put ac and go to the next iteration. C The root is between a and c, so we put b- c and go to the next iteration. D The root is between c and b, so we put a = c and go to the next iteration. E O ' None of the above

Explanation / Answer

f(a)<0 , f(c)>0

So there is sign change going from a to c. Hence, there ie a root between a and c

So we put b=c ie option C

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