MATLAB SOLUTION

1. Consider the function f()4-23+312 +2t on the in (a) Graph the function on the given interval. (b) Determine how many local extrema the function has. In particular, produce a separate graph which is zoomed in closer to x =-1 to confirm your result using the axis command (c) Find the derivative of f and graph it on the interval [-,]. Using this graph to identify appropriate guess values, use fzero to find the approximate locations of each local extremum to at least 6 decimal places. (d) Graph f" on the interval -1.2 S t s -0.8. How does the graph establish that x =-1 is, in fact, an inflection point of f