Unit 9: Linear, Quadratic, \& Exp. Functions Homework 1: Identifying Functions

When identifying functions, remember that a function pairs each input with exactly one output. You can easily test if a relation is a function by using the vertical line test: if a vertical line crosses the graph more than once, it’s not a function. So, next time you're examining a graph, channel your inner artist and visualize those lines! In real-world scenarios, functions are everywhere! For instance, think of how a vending machine works. You select a button (input) and get a snack (output). It’s a perfect function example—press the button for a specific snack, and no surprises! This mapping from inputs to outputs also applies to everything from calculating interest rates to predicting outcomes in sports.