Average rate of change FLASHCARD

Front

What does AROC stand for?

Back

Average Rate of Change

Front

Given the function f(x) = 2x + 3, find the AROC over the interval [1, 4].

Back

AROC = 2

Front

How do you calculate the average rate of change of a function over an interval [a, b]?

Back

AROC = \frac{f(b) - f(a)}{b - a}

Front

If f(2) = 5 and f(5) = 20, what is the AROC from x = 2 to x = 5?

Back

AROC = 5

Front

What is the AROC of a constant function?

Back

AROC = 0

Front

Given the function f(x) = x^2, find the AROC over the interval [1, 3].

Back

AROC = 4

Front

If the AROC is negative, what does that indicate about the function's behavior over that interval?

Back

The function is decreasing over that interval.

Front

Find the AROC of the function f(x) = -3x + 6 over the interval [0, 2].

Back

AROC = -3

Front

What is the significance of AROC in real-world applications?

Back

It represents the average change in a quantity over a specified interval.

Front

Given the function f(x) = 4x^2 - 2x, find the AROC over the interval [1, 3].

Back

AROC = 22