Question

What is the average rate of change over the interval (-1, 5)​

Answer 1

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the function is not given. However, the following explanation will guide you.

The average rate of change is calculated using;

$A = \frac{f(b) - f(a)}{b - a}$

Where

$(a,b) = (-1,5)$

Take for instance;

The function is:

$f(x) = 2x$

We have to solve for f(-1) and f(5);

i.e.

$f(-1) = 2 * -1 -2$

$f(5) = 2 * 5 = 10$

Substitute -1 for a and 5 for b

$A = \frac{f(b) - f(a)}{b - a}$

$A = \frac{f(5) - f(-1)}{5 - (-1)}$

$A = \frac{f(5) - f(-1)}{5 +1)}$

$A = \frac{f(5) - f(-1)}{6}$

Substitute values for f(5) and f(-1)

$A = \frac{10 - (-2)}{6}$

$A = \frac{10 +2}{6}$

$A = \frac{12}{6}$

$A = 2$

Apply this steps in your work