I need the solve for this numerical methods course question

Problem 2 (10 marks) O points possible (ungraded) Consider the function f (x) = x + 1 2sin (1x). This function is continuous on the interval 11 = [0.5, 1) and 11 = [3, 10). Using interval bisection method, answer the following: (a) Find on which interval 14 and/or 12 the function f (x) has a root. (b) Compute the number of iteration required to find the root. Choose the interval you found in Part-(a) and the upper bound of error is 1.0 x 10-3. (cFind the root of f (x) on the interval used in Part-(b) and within the error bound 1.0 x 10-3. Submit