• Define what a function is and apply the vertical line test to identify functions
• Use function notation to represent and evaluate functions
• Recognize the graphs of fundamental toolkit functions

Market Mechanics: Understanding Functions Through Data

Kai, a data analyst, is preparing a report on market trends for a large retail company. They need to use various functions to predict sales growth, analyze customer behavior, and optimize inventory management. Your task is to assist Kai by applying your knowledge of functions and their graphs to real-world data scenarios.

 

Kai’s first challenge involves ensuring the correct representation of data. They show you a series of graphs and asks you to identify which ones represent functions.

Having identified which graphs represent functions, Kai now needs to explain the characteristics of different types of functions to the marketing team to help them understand data trends.

With the marketing team now having a better grasp of function types, Kai turns to the practical application of this knowledge. They have collected data on customer purchases and wants to represent this data accurately using function notation.

After establishing the function notation for customer purchases, Kai moves on to analyze the impact of the advertising budget on sales. This requires evaluating a function that models this relationship.

Next, Kai wants to visualize different growth trends to predict future sales. They ask for your help in matching descriptions of growth with the correct toolkit function graphs.

Finally, Kai presents a graph that they suspect might not represent a function. They need your expertise to apply the vertical line test and verify their suspicion.