- Determine the set of all possible input values for a function based on its equation
- Identify the set of all possible inputs (domain) and outputs (range) from looking at a graph
- Figure out the allowed inputs and outputs for the fundamental toolkit functions
- Sketch piecewise functions, showing each segment with its own rule on the graph
In the digital age, streaming services collect vast amounts of data about how users interact with their platforms. Companies like Spotify, Apple Music, and others use mathematical functions to analyze listening patterns, set pricing strategies, and improve user experience. These functions must account for real-world limitations – you can’t listen to a negative amount of music, and there are only so many hours in a day! Let’s explore how domain and range concepts help streaming services make sense of their data.