For this discussion activity, you will take on the role of a person who has decided to open an online store. You want to figure out what shipping fees to charge customers, and you want to base the charge on the weight of the item purchased. To do so$,$ you will create a piecewise function that includes your shipping charges for items, including three to five weight differences.

In your initial post, include the name of your store, the items you sell, and show your shipping$-$charge function. With the function, state the rules and domain intervals where they apply. Also address the following questions:

Is your shipping$-$charge function a step function? Could shipping charges be determined using a piecewise function that isn't a step function?

What are the pros and cons of using each type of function in this case to determine the costs?