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Stells [14]
3 years ago
8

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

Mathematics
1 answer:
Fittoniya [83]3 years ago
7 0

Answer:

\displaystyle 4

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

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

Step-by-step explanation:

<u>Step 1: Define</u>

g(x) = 4x

Interval [1, 5]

<u>Step 2: Find Change</u>

  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
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