Question

Given the function h(x) = -2 – 9x + 26,determine the average rate of change of thefunction over the interval -6 < x < -1.x

Answer 1

-2

Step-by-step explanation:

Given the function:

`h(x)=-x^2-9x+26`

The rate of change over the interval -6≤x≤-1 is:

`(h(-6)-h(-1))/(-6-(-1))`

Evaluating this gives:

`\begin{gathered} ((-(-6)^2-9(-6)+26)-(-(-1)^2-9(-1)+26))/(-6+1) \\ =((-36+54+26)-(-1+9+26))/(-5) \\ =(44-34)/(-5) \\ =(10)/(-5) \\ =-2 \end{gathered}`

The average rate of change of the function over the given interval is -2.