Question

Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval

Answer 1

Answer:

Average rate of change = 5

Step-by-step explanation:

Average rate of change of a function is defined by the expression over the interval a ≤ x ≤ b,

Average rate of change = $\frac{f(b)-f(a)}{b-a}$

Using this rule for the average rate of change of the function (defined by the table) over the interval 4 ≤ x ≤ 5,

Average rate of change = $\frac{f(5)-f(4)}{5-4}$

From the table,

f(5) = 10

f(4) = 5

Therefore, average rate of change of the function = $\frac{10-5}{5-4}$

                                                                                    = 5