Question

Find the average rate of change f(x)=x^2−6x+8 when x2=1 and x1=3

Answer 1

Answer:

Average rate of change for given function is: -2

Step-by-step explanation:

Given function is:

$f(x)=x^2-6x+8\\x_12= 1\\x_1 = 3$

In order to find the rate of change, we have to find the value of function on x1 and x2

So,

$f(x_1) = (3)^2-6(3)+8 = 9-18+8 = -1\\f(x_2) = (1)^2-6(1)+8 = 1-6+8 = 3$

The formula for finding the rate of change is:

$Rate\ of\ change = \frac{f(x_2)-f(x_1)}{x_2-x_1}$

Putting the values, we get

$=\frac{3-(-1)}{1-3}\\=\frac{3+1}{-2}\\=\frac{4}{-2}\\= -2$

Hence,

Average rate of change for given function is: -2

Answer 2

Answer:

Average rate of change for given function is: -2

Step-by-step explanation: