root location technique

Given

f (x) = âˆ’2×6âˆ’ 1.5×4 + 10x + 2

Use a root location technique to determine the maximum of this function. Perform iterations until the approximate relative error falls below 5%. If you use a bracketing method, use initial guesses of xl = 0 and xu = 1. If you use the Newton-Raphson or the modified secant method, use an initial guess of xi = 1. If you use the secant method, use initial guesses of xiâˆ’1 = 0 and xi = 1. Assuming that convergence is not an issue, choose the technique that is best suited to this problem. Justify your choice.

root location technique