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for g(x)= x^2 -5x+8 find the average rate of change on interval [1,6]

Sagot :

Lanuel

The average rate of change on interval [1, 6] is equal to 2.

What is an average rate of change?

An average rate of change is also referred to as slope and it can be defined as a type of function that describes the average rate at which a quantity changes (decreases or increases) with respect to another quantity, over a period of time (interval).

In Mathematics, the average rate of change of f(x) on a closed interval [a, b] is given by:

Average rate of change = [f(b) - f(a)]/(b - a)

For f(a), we have:

f(a) = f(1) = 1² - 5(1) + 8

f(1) = 1 - 5 + 8

f(1) = 4

For f(b), we have:

f(b) = f(6) = 6² - 5(6) + 8

f(6) = 36 - 30 + 8

f(6) = 14

Substituting the parameters into the formula, we have;

Average rate of change = [f(b) - f(a)]/(b - a)

Average rate of change = [14 - 4]/(6 - 1)

Average rate of change = 10/5

Average rate of change = 2

Read more on Average rate of change here: https://brainly.com/question/24313700

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