Problem 4: Given the function f(x) below, use for loops and if statements to perform the following exercises 10 (a, b) Compute f(x) for x = [-20:0.1:20] . Put x into p4a and f into p4b c - e) How many local maxima does f(x) have (excluding the end values of f)? Put the answer in p4c. Find the x values and f values of the maxima and put the answers in p4d and p4e, respectively. List the maxima in the order of increasing x. (f - h) How many local minima does f(x) have (excluding the end values of f)? Put the answer in p4f. Find the x values and f values of the minima and put the answers in p4g and p4h, respectively. List the minima in the order of increasing x. (i - k) How many times does f(x) cross zero value? Put the answer in p4i. Find the x values and f values right before f(x) crosses zero value and put the answers in p4j and p4k respectively. List the zero crossing in the order of increasing x. (1) Make figure 1 to include a solid line for f(x) and different symbols for the maxima, the minima and the zero crossing. Label the axes and give title and legend. Set p4l-'See fig- ure 1'. Make sure that the figure is plotted on screen when your homework script is executed