A graph showing the postage rates for letters weighing fewer than 5 ounces for the year 2015 is shown at right. This is another example of a step function. Homework Help ✎
How much would you pay for a letter weighing 2.9 ounces? For 3 ounces? For 3.1 ounces?
This piecewise function has five steps (or pieces). Look closely at the Boundary Points between pieces: x = 1 oz, x = 2 oz, x = 3 oz, x = 4 oz, etc. Will you pay a higher or lower rate if your item weighed exactly any of those amounts?
Write a piecewise-defined function that determines the postage rates for letters weighing between 0 and 5 ounces. Let x represent the weight in ounces, and y represent cost in dollars.
Notice that this piecewise function consists of five horizontal pieces. Recall that a horizontal line is of the form y = k, where k is a constant. Also, consider the boundary points: will ≤ or ≥ be appropriate?