Question

What is the average rate of change of the function g(x) = 4x from x = 1 to x = 5?

Answer 1

Answer:

$\displaystyle 4$

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
• Interval Notation - [a, b]
• Average Rate of Change: $\displaystyle \displaystyle \frac{f(b) - f(a)}{b - a}$

Step-by-step explanation:

Step 1: Define

g(x) = 4x

Interval [1, 5]

Step 2: Find Change

1. Substitute in function and points [Average Rate of Change]:                     $\displaystyle \displaystyle \frac{4(5) - 4(1)}{5 - 1}$
2. [Fraction] Multiply:                                                                                          $\displaystyle \displaystyle \frac{20 - 4}{5 - 1}$
3. [Fraction] Subtract:                                                                                         $\displaystyle \displaystyle \frac{16}{4}$
4. [Fraction] Divide:                                                                                              $\displaystyle 4$