Please show work, matlab code, and provide a detailed explanation of each step and the process. Thank you

The 2nd image is the code for batman.m

2. Use frequency sampling to design a filter b[n] that approximates the "batman" frequency response B(ej) in the figure below. What are the fewest number of samples needed to get a good representation of the filter? The value of B(ej) for any can be found using the function batman.m on the Canvas homepage. (Note that batman.m provides the actual gain, not the gain in dB )