1. What is Function Evaluation?

This calculator evaluates linear fractional functions of the form f(x) = a/b, where a is the numerator, b is the denominator, and x is the variable. It computes the value of the function at a given point x.

2. How Does the Calculator Work?

The calculator uses the function:

Where:

• \( a \) — Numerator (unitless)
• \( b \) — Denominator (unitless, cannot be zero)
• \( x \) — Variable value (unitless)

Explanation: The function represents a linear relationship where the output is proportional to the input x, scaled by the ratio a/b.

3. Importance of Function Evaluation

Details: Evaluating functions is fundamental in mathematics, physics, engineering, and economics. It helps understand relationships between variables and predict outcomes.

4. Using the Calculator

Tips: Enter the numerator (a), denominator (b ≠ 0), and the value of x at which to evaluate the function. All values are unitless.

5. Frequently Asked Questions (FAQ)

Q1: What happens if denominator b is zero?
A: The function becomes undefined (division by zero). The calculator will not display a result if b=0 is entered.

Q2: Can this calculator handle complex numbers?
A: No, this calculator only works with real numbers.

Q3: What's the maximum number of decimal places?
A: Results are displayed with up to 4 decimal places for precision.

Q4: Can I use negative numbers?
A: Yes, all inputs can be negative except the denominator (b) which cannot be zero.

Q5: What applications does this type of function have?
A: Such functions appear in proportional relationships, scaling factors, conversion rates, and many physical laws.