Question

Find average rate of change of f(x) over the interval [1,5] (look at image)

Answer 1

Average rate of change = -3/4

Explanation:

For the average rate of change, we just have to look at the end points,

So,

The interval is [1, 5]

which corresponds to the values of the function,

f(1) = 5,

f(5) = 2,

Now, the average rate of change will be,

Average rate of change = (f(5) - f(1))/(5 - 1)

Putting the values of the function at the interval end points,

Average rate of change = (2 - 5)/(5 - 1)

Average rate of change = -3/4