https://file.aiquickdraw.com/mathbot/file/172773301279806pzn3a4.jpg

In the graph provided, the "constant" interval is where the function has no slope, meaning the line is flat and the function's value does not change as \(x\) increases or decreases.

Looking at the graph, the flat (horizontal) section of the line is from \(x = -2\) to \(x = 2\), where the value of the function stays constant at \(y = 2\). Hence, the correct interval where the graph is constant is \([-2, 2]\).

This confirms that your selected answer, \([-2, 2]\), is correct.

Would you like further explanation or have any questions?

### 5 Follow-up Questions:
1. What is the slope of the line outside the constant interval \([-2, 2]\)?
2. How would you calculate the slope of the line segments outside the constant region?
3. What is the difference between a constant interval and an increasing interval on a graph?
4. How can you determine if a function is constant over an interval from its equation?
5. Can a function have multiple constant intervals on a graph?

### Tip:
A constant function has a derivative of zero over its constant interval since the slope is zero.

Learn how to identify constant intervals on a graph by analyzing where the function remains unchanged. This problem demonstrates how to spot sections of a graph where the function is constant, and provides detailed insights suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation