Algebra 2 Practice Quiz: Relative Maxima and Minima on Graphs

📚 Topic Summary

In Algebra 2, relative maxima and minima (also called local maxima and minima) refer to the highest and lowest points within a specific interval on a graph. A relative maximum is a point that is higher than all the points around it, while a relative minimum is a point that is lower than all the points around it. These points help describe the behavior of a function over a specific domain.

🧠 Part A: Vocabulary

Match the following terms with their correct definitions:

1. Term: Relative Maximum
2. Term: Relative Minimum
3. Term: Interval
4. Term: Function
5. Term: Graph

Definitions:

1. A relation where each input has only one output.
2. A portion of the x-axis.
3. A visual representation of a function.
4. A point higher than all surrounding points within an interval.
5. A point lower than all surrounding points within an interval.

Match the terms to the definitions. (Example: 1-D)

📝 Part B: Fill in the Blanks

A _________ _________ is the highest point on a graph within a specific _________. Similarly, a _________ _________ is the lowest point on a graph within a specific _________. Identifying these points helps us understand where a function is _________ or _________.

💡 Part C: Critical Thinking

Explain, in your own words, how finding relative maxima and minima can be useful in real-world applications. Give one example.