Evaluate The Following Function at The Values Calculator

How to Use This Calculator

To evaluate a function at specific values:

1. Enter your function in the provided field. Use standard mathematical notation (e.g., "2x + 3" or "x^2 - 4x + 4").
2. Specify the values you want to evaluate the function at in the "Values to evaluate" field. Separate multiple values with commas (e.g., "1, 2, 3").
3. Click "Calculate" to see the results.
4. Review the results and chart (if available) to understand how the function behaves at the specified values.

The calculator will substitute each value into the function and compute the result. For example, if you enter the function "x^2 + 2x + 1" and the values "1, 2, 3", the calculator will return the results for each value.

Formula Used

The calculator follows this basic principle to evaluate functions at multiple values. It handles simple algebraic expressions, exponents, and basic operations.

Worked Examples

Example 1: Linear Function

Function: f(x) = 3x - 2

Evaluate at x = 4:

f(4) = 3*4 - 2 = 12 - 2 = 10

Example 2: Quadratic Function

Function: f(x) = x^2 - 5x + 6

Evaluate at x = 2 and x = 3:

f(2) = 2^2 - 5*2 + 6 = 4 - 10 + 6 = 0

f(3) = 3^2 - 5*3 + 6 = 9 - 15 + 6 = 0

Example 3: Multiple Values

Function: f(x) = x^3 - 2x

Evaluate at x = 1, 2, 3:

f(1) = 1^3 - 2*1 = 1 - 2 = -1

f(2) = 2^3 - 2*2 = 8 - 4 = 4

f(3) = 3^3 - 2*3 = 27 - 6 = 21