Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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

Sagot :

Space

Answer:

[tex]\displaystyle 4[/tex]

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: [tex]\displaystyle \displaystyle \frac{f(b) - f(a)}{b - a}[/tex]

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]:                     [tex]\displaystyle \displaystyle \frac{4(5) - 4(1)}{5 - 1}[/tex]
  2. [Fraction] Multiply:                                                                                          [tex]\displaystyle \displaystyle \frac{20 - 4}{5 - 1}[/tex]
  3. [Fraction] Subtract:                                                                                         [tex]\displaystyle \displaystyle \frac{16}{4}[/tex]
  4. [Fraction] Divide:                                                                                              [tex]\displaystyle 4[/tex]
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.