The chart shows the memory capacity for different generations of iPods from 2001 to 2009. Using the chart, list all the values in the domain and range for the memory capacity. IPOD GENERATION MEMORY CAPACITY www.crunchfield.com 200 160GB 150 100 80GB 40GB 50 5GB 10GB 0 2001 2003 2005 2007 2009 Domain: { Range: { }
The Correct Answer and Explanation is:
Domain: {2001, 2003, 2005, 2007, 2009} Range: {5GB, 10GB, 40GB, 80GB, 160GB}
The domain of a function refers to the set of all possible input values. In this context, the domain consists of the years during which different generations of iPods were released and their memory capacities were recorded. By examining the chart, we observe memory data points for the years 2001, 2003, 2005, 2007, and 2009. Each of these years corresponds to a particular iPod model with a specific memory capacity, and no years in between are represented. Therefore, the domain includes only these five distinct years.
The range of a function refers to the set of all possible output values. Here, the range is represented by the iPods’ memory capacities during those release years. According to the chart, the memory capacities are 5GB in 2001, 10GB in 2003, 40GB in 2005, 80GB in 2007, and 160GB in 2009. Each of these values is unique and denotes a substantial increase over previous generations. These values show a clear pattern of technological advancement, with iPod storage steadily increasing in response to consumer demand for greater digital storage.
Understanding the domain and range allows us to interpret how iPod memory evolved over time. The data does not suggest a continuous relationship but rather a discrete function with specific input-output pairs. This means each year had one corresponding memory size, and there were no intermediate values or memory capacities beyond those listed.
In broader terms, the increase in memory capacity highlights significant strides in digital storage and miniaturization of hardware over the early 2000s. It reflects a period of innovation where personal media devices quickly transformed from simple tools into powerful hubs for digital entertainment.
