Answer:
[tex]\displaystyle -2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Algebra I
- Average Rate of Change: [tex]\displaystyle \frac{f(b) - f(a)}{b - a}[/tex]
Step-by-step explanation:
Step 1: Define
Interval -1 ≤ x ≤ 3
a = -1, b = 3
f(a) = f(-1) = 4
f(b) = f(3) = -4
Step 2: Find Average
- Substitute in variables [ARC]: [tex]\displaystyle \frac{f(3) - f(-1)}{3 + 1}[/tex]
- Substitute: [tex]\displaystyle \frac{-4 - 4}{3 + 1}[/tex]
- [Fraction] Subtract/Add: [tex]\displaystyle \frac{-8}{4}[/tex]
- [Fraction] Divide: [tex]\displaystyle -2[/tex]
