Question

What is the average rate of change of f(x), represented by the table of values, over the interval [-2,3]?

Answer 1

D. 0.5

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

• Average Rate of Change:
  `\displaystyle (f(b) - f(a))/(b - a)`

Explanation:

Step 1: Define

Interval [-2, 3]

b = 3

a = -2

f(b) = f(3) = 5

f(a) = f(-2) = 2.5

Step 2: Find

1. Substitute [ARC]:
   `\displaystyle (5 - 2.5)/(3 + 2)`
2. [Frac] Subtract/Add:
   `\displaystyle (2.5)/(5)`
3. [Frac] Divide:
   `\displaystyle 0.5`