Question

Consider the function f(x) = 8x2 + 5x – 2.

Determine the output produced by the input value x = -2.

Answer 1

f(-2) = 20

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Explanation:

Step 1: Define

f(x) = 8x² + 5x - 2

x = -2

Step 2: Evaluate

1. Substitute in x: f(-2) = 8(-2)² + 5(-2) - 2
2. Exponents: f(-2) = 8(4) + 5(-2) - 2
3. Multiply: f(-2) = 32 - 10 - 2
4. Subtract: f(-2) = 22 - 2
5. Subtract: f(-2) = 20