https://file.aiquickdraw.com/mathbot/file/1725241018297l06il03f.jpg

The graph in the image shows a linear function that is represented by a straight line. The range of a function is the set of all possible output values (y-values) that the function can produce.

Since the line extends infinitely in both the positive and negative directions along the y-axis, the range of the function is all real numbers.

Thus, the range of the function is:

\[ \text{Range} = (-\infty, \infty) \]

Would you like more details or have any questions?

Here are five related questions for further exploration:

1. What is the domain of this function?
2. How do you find the slope of the line given two points on the graph?
3. What would be the equation of this line in slope-intercept form?
4. How do you determine whether a function is linear or nonlinear from its graph?
5. What is the significance of the x-intercept and y-intercept of a linear function?

**Tip:** Remember, for a linear function, the range will always be all real numbers unless the line is horizontal.

Explore the range of a linear function through detailed explanations and examples. Learn how to determine the range of a function represented by a straight line graph. Suitable for high school students, this page covers key concepts in functions and linear equations.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation