1. What is Net Change?

The net change of a function between two points represents the difference in the function's values at those points. It's calculated as f(b) - f(a), where f is the function, and a and b are points in its domain.

2. How Does the Calculator Work?

The calculator uses the net change formula:

Where:

• \( f \) — The function being evaluated
• \( a \) — The starting point
• \( b \) — The ending point

Explanation: The calculator evaluates the function at both points and computes their difference.

3. Importance of Net Change Calculation

Details: Net change is fundamental in calculus and real-world applications. It represents the overall change in a quantity over an interval, used in physics (displacement), economics (profit change), and biology (population growth).

4. Using the Calculator

Tips: Enter a mathematical function using 'x' as the variable (e.g., "x^2 + 3*x - 5"). Then input the interval points a and b. The calculator will evaluate the function at both points and compute their difference.

5. Frequently Asked Questions (FAQ)

Q1: What operations are supported in the function?
A: Basic operations (+,-,*,/), exponents (^), parentheses, and common math functions (if implemented).

Q2: Can I use variables other than x?
A: Currently, only 'x' is supported as the variable in functions.

Q3: How precise are the calculations?
A: Results are rounded to 4 decimal places for readability.

Q4: What if my function isn't valid?
A: The calculator will display an error message if the function syntax is invalid.

Q5: Can I calculate net change for non-mathematical functions?
A: This calculator is designed for mathematical functions. For other applications, specialized tools may be needed.