Increasing and Decreasing Intervals
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Lesson Description:
Understand what the terms increasing and decreasing mean with regards to a relationship. In particular, be clear on how demand and supply relationships work (i.e. are they increasing or decreasing, strictly or over only parts of the domain).
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Additional Resources:
- Notes - Notes from this lesson.
- Problem Set - A problem set from this lesson.
- Problem Set Solutions - Solutions to the problem set for this lesson.
- Definition of Increasing / Decreasing 1 - A definition of the term "increasing function"
- Definition of Increasing / Decreasing 2 - Calculus definition of a function increasing or decreasing on an interval
- Definition of Increasing / Decreasing 3 - Definition of a Monotonic function
- Supply and Demand 1 - Explanation of supply and demand and how it works.
- Supply and Demand 2 - Another explanation of supply and demand.
- Supply and Demand 3 - A definition of the term "market price"
Questions answered by this video:
- What are some characteristics of supply and demand functions?
- What are increasing and decreasing functions and intervals?
- What are supply and demand functions?
- What is the definition of an increasing or decreasing function?
- What is a monotonic function?
- What does it mean for a function to be strictly increasing or strictly decreasing?
- How can you tell where a function is increasing or decreasing from a table of values?
- How can you tell if an exponential or logistic function is increasing or decreasing from functional notation?
- What is a constant function?
- Why are exponential and logistic functions either always increasing or always decreasing?
- Where does a quadratic function go from increasing to decreasing or vice versa?
- How can you tell where a quadratic function is increasing or decreasing from functional notation?
- How can you tell where a function is increasing, decreasing, or constant from a graph?
- Why are demand functions always decreasing?
- Why are supply functions always increasing?
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Staff Review
This lesson explains increasing and decreasing functions and intervals and uses some of the most famous functions of this type: supply and demand curves. All terms and definitions are discussed and explained in the many web / document resources for this lesson. This is a very useful and helpful lesson for learning about increasing and decreasing functions.
