How to tell if a graph is a polynomial function?
Understand the Problem
The question is asking for the criteria or characteristics that can be used to determine whether a given graph represents a polynomial function. This might involve identifying features such as continuity, smoothness, and the general shape of the graph.
Answer
Look for smooth, continuous curves that touch or cross the x-axis.
The final answer is to check for smooth, continuous curves that interact with the x-axis as described.
Answer for screen readers
The final answer is to check for smooth, continuous curves that interact with the x-axis as described.
More Information
Polynomial graphs are distinguished by their smooth, continuous nature, without any breaks or sharp turns, and how they interact with the x-axis.
Tips
A common mistake is to confuse sharp corners or breaks with polynomial functions, which are actually characteristic of non-polynomial graphs.
Sources
- Recognizing Characteristics of Graphs of Polynomial Functions - math.libretexts.org
- How to determine if a graph is a polynomial function - YouTube - youtube.com
