1. What is Function Range?

The range of a function is the difference between the maximum and minimum values of the function over its domain. It represents the spread or variability of the function's output values.

2. How Does the Calculator Work?

The calculator uses the range formula:

Where:

• \( \max(f(x)) \) — Maximum value of the function
• \( \min(f(x)) \) — Minimum value of the function

Explanation: The calculator finds the highest and lowest values in the provided function outputs and calculates their difference.

3. Importance of Range Calculation

Details: Calculating the range of a function is important in statistics, data analysis, and mathematics to understand the spread and variability of data points or function values.

4. Using the Calculator

Tips: Enter function values as comma-separated numbers (e.g., 2,4,6,8,10). The calculator will compute the range by finding the difference between the maximum and minimum values.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between range and domain?
A: Domain refers to all possible input values (x-values) of a function, while range refers to all possible output values (y-values or f(x) values).

Q2: Can range be negative?
A: No, range is always a non-negative value as it represents the difference between maximum and minimum values.

Q3: What does a range of zero indicate?
A: A range of zero indicates that all function values are identical (no variability in the outputs).

Q4: How is range different from standard deviation?
A: Range measures the total spread between extreme values, while standard deviation measures the average distance of values from the mean, providing a different perspective on variability.

Q5: When is range most useful?
A: Range is most useful for quick assessments of data spread and when extreme values are particularly important to the analysis.