Question

Mark T (true) or F (false). Justify your answer when it is false.

(a) The secant method is always guaranteed to converge, while Newton’s method is not.

(b) The secant method can be used without having a formula for f′(x).

(c) Newton’s method exhibits slower convergence than the secant method.

(d) We can use the bisection method to a function f(x) without having any knowledge of the derivative f′(x)

(e) In order to use the bisection method, we need to have a continuous function f(x), with continuous derivative f′(x).

(f) We cannot use Newton’s method to solve f(x) = 0 if the derivative f′(x) happens to be zero at the exact location of the solution.

Answer 1