Question

The average rate of change of a function g from x1 to x2 is defined as follows: g(x2) - g(x1) / x2-x1 Where x1 ≠ x2. Please continue with any specific questions or calculations related to the average rate of change of a function.

Answer 1

The average rate of change of a function g from x1 to x2 is defined as (g(x2) - g(x1)) / (x2 - x1). It measures how much the function g changes on average between the two points x1 and x2.

Step-by-step explanation:

The average rate of change of a function g from x1 to x2 is defined as:

(g(x2) - g(x1)) / (x2 - x1)

Where x1 ≠ x2. This formula measures how much the function g changes on average between the two points x1 and x2.

For example, if we have a function g(x) = 3x + 5, and we want to find the average rate of change between the points x = 2 and x = 4, we plug the values into the formula:

(g(4) - g(2)) / (4 - 2) = (3(4) + 5) - (3(2) + 5) / (4 - 2) = (12 + 5) - (6 + 5) / 2 = 17 - 11 / 2 = 6 / 2 = 3