https://file.aiquickdraw.com/mathbot/file/1730129940563wd3vmoxz.jpg

To determine the range of this function based on the graph:

1. The line begins at \( y = 6 \) when \( x = -6 \), and this point is marked with an open circle, meaning \( y \) does not equal 6 at \( x = -6 \).
2. The line decreases and ends at a point on the y-axis with \( y = -6 \) when \( x = 8 \), marked with an arrow, which indicates that \( y \) continues to decrease as \( x \) moves right.

Therefore, the range of \( y \) values is from \( -6 \) upward to just below \( 6 \). Thus:

- **Range**: \( y \leq 5 \).

Would you like more details or have any questions?

---

Here are some follow-up questions to deepen understanding:

1. How can we determine the slope of the line from the graph?
2. What would the range be if the line extended infinitely in both directions?
3. How would an open versus closed endpoint affect the range?
4. How would the range change if the line had a positive slope?
5. What is the range if we consider the line extending only to certain x-values?

**Tip:** When determining the range, always check both the highest and lowest points the graph reaches.

The domain is the set of all real numbers. The range is y less than or equal to 5.

Learn how to determine the domain and range of a linear graph. This problem demonstrates identifying the domain as all real numbers and the range as y values less than or equal to 5. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation