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Function Evaluation

Evaluate a quadratic function f(x) for a specific value of x.

Concept Overview

Evaluating a function means replacing the variable (input) with a specific value and calculating the result (output). If f(x) = 2x + 3, evaluating for f(5) means replacing x with 5 and solving.

Function Notation

The notation f(x) is read as "f of x". It defines a rule that tells you what to do with any number you plug in.

Input vs Output

The number inside the parentheses is the input (domain), and the final result is the output (range).

Step-by-Step Example

Evaluate: f(x) = xΒ² + 2x - 5 for x = 3

  1. Substitute: replace every x with 3 → (3)Β² + 2(3) - 5
  2. Exponents: (3)Β² = 9 → 9 + 2(3) - 5
  3. Multiply: 2(3) = 6 → 9 + 6 - 5
  4. Add/Sub: 9 + 6 = 15; 15 - 5 = 10
Input Values

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