Question

Evaluate the function f(x) = 2x^2 -3x + 5 for the input value of -3

Answer 1

f(-3) = 32

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

Algebra I

• Function Notation

Explanation:

Step 1: Define

f(x) = 2x² - 3x + 5

f(-3) is x = -3

Step 2: Evaluate

1. Substitute in x: f(-3) = 2(-3)² - 3(-3) + 5
2. Evaluate exponents: f(-3) = 2(9) - 3(-3) + 5
3. Multiply: f(-3) = 18 + 9 + 5
4. Add: f(-3) = 27 + 5
5. Add: f(-3) = 32