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:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
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

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

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