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

User Agoncharov
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1 Answer

5 votes

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 (f(b) - f(a))/(b - a)

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 (4(5) - 4(1))/(5 - 1)
  2. [Fraction] Multiply:
    \displaystyle \displaystyle (20 - 4)/(5 - 1)
  3. [Fraction] Subtract:
    \displaystyle \displaystyle (16)/(4)
  4. [Fraction] Divide:
    \displaystyle 4
User Nathan Pierson
by
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