- Determine limits and predict how functions behave as x increases or decreases indefinitely
- Identify and distinguish horizontal and slanting lines that a graph approaches but never touches
- Use a function’s derivatives to accurately sketch its graph
From Party Planning to Paper Design: Exploring Function Behavior
In this apply-it task, we’ll dive into the practical applications of function analysis in a business context. We’ll explore two scenarios related to a company’s employee party: determining the optimal attendance fee and designing the perfect invitation. These problems will challenge you to apply various calculus concepts, including domain analysis, limit evaluation, asymptote identification, and derivative calculations.
By working through these problems, you’ll gain insight into how calculus can be applied to make informed decisions in business planning and design. Let’s begin our exploration of these real-world applications of function analysis!