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

Sagot :

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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]
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