Question

What is the average rate of change between x = 0 and x = 2 for the equation:
y=- (6)*

Answer 1

Answer:

-17.5

Step-by-step explanation:

The given function is

$y = - {(6})^{x}$

We want to find the average rate of change from x=0 to x=2.

Let

$f(x ) = - {(6})^{x}$

The average of change of f(x) from x=a to x=b is given by:

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

So to find the average rate of change of the given function from x=0 to x=2, we substitute to get:

$f(0) = - {6}^{0} = - 1$

$f( 2) = - {6}^{2} = - 36$

The average rate of change is:

$\frac{f(2) - f(0)}{2 - 0} = \frac{ - 36 - - 1}{2 - 0} = - \frac{35}{2} = - 17.5$