Question

The function y = f (x) is graphed below. What is the average rate of change of the function f(x) on the interval - 1 ≤ x ≤ 3?

Answer 1

Answer:

$\displaystyle -2$

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: $\displaystyle \frac{f(b) - f(a)}{b - a}$

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

1. Substitute in variables [ARC]:                     $\displaystyle \frac{f(3) - f(-1)}{3 + 1}$
2. Substitute:                                                   $\displaystyle \frac{-4 - 4}{3 + 1}$
3. [Fraction] Subtract/Add:                             $\displaystyle \frac{-8}{4}$
4. [Fraction] Divide:                                        $\displaystyle -2$