https://file.aiquickdraw.com/mathbot/file/17302140634541t092moy.jpg

To determine the interval where the function is increasing on this graph, we need to look for the sections where the function has a positive slope, meaning it rises as \( x \) increases.

Analyzing the graph, we can see the function increases between the following points:

- From \( x = -2 \) to \( x = 3 \).

This corresponds with answer choice:

**B. \( -2 \leq x \leq 3 \)**

Would you like a further breakdown of how this interval was identified?

---

Here are some related questions that might expand on this concept:

1. What does it mean for a function to be decreasing on an interval?
2. How can we determine intervals of increase and decrease by looking at the derivative of a function?
3. What are the characteristics of a function that is constant over an interval?
4. How can turning points or local extrema help identify intervals of increase and decrease?
5. How can we determine intervals of increase and decrease on non-linear functions?

**Tip:** When analyzing graphs, look at the slope of each segment. If the slope is positive, the function is increasing; if it's negative, the function is decreasing.

Over what interval is the function in this graph increasing?

Learn how to identify the interval over which a function is increasing by analyzing a graph. This example involves finding where the function has a positive slope, focusing on understanding intervals of increase and decrease. 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