Question

machine at a bakery poured out flour for 16 minutes. at the end of that time, the machine was empty. the graph shows the amount of flour (in grams) remaining in the machine versus time (in minutes). find the range and the domain of the function shown. write your answers as inequalities, using x or y as appropriate. or, you may instead click on \empty set\ or \all reals\ as the answer. range: domain:

Explanation:

Step1: Determine the Domain

The domain represents the time (in minutes) the machine is pouring flour. From the graph, the time starts at 0 minutes (when pouring begins) and ends at 16 minutes (when the machine is empty). So the domain is the set of x - values from 0 to 16, inclusive. In inequality form, this is \(0\leq x\leq16\).

Step2: Determine the Range

The range represents the amount of flour (in grams) in the machine. At \(x = 0\) (start time), the amount of flour is 400 grams (from the graph's y - intercept), and at \(x=16\) (end time), the amount of flour is 0 grams. So the range is the set of y - values from 0 to 400, inclusive. In inequality form, this is \(0\leq y\leq400\).

Answer:

Domain: \(0\leq x\leq16\)
Range: \(0\leq y\leq400\)