Question

Find the average rate

Answer 1

Answer:

5

Step-by-step explanation:

To find the average rate of change of the function between two points $x_1, x_2$, we can use the following formula:

$m=\frac{f(x_2)-f(x_1)}{x_2-x_1}$

The function in this problem is

$f(x)=x^2-2x+9$

At $x_1 = 1$, we have

$f(x_1)=f(1)=1^2-2(1)+9=8$

At $x_2 = 6$, we have

$f(x_2) = f(6) = 6^2-2(6)+9=33$

So now we can apply the first formulat to find the average rate of change of the function between the two points:

$m=\frac{33-8}{6-1}=\frac{25}{5}=5$