Question

Given the function h(x)=x^2-7x+6h(x)=x

2
−7x+6, determine the average rate of change of the function over the interval 1\le x \le 61≤x≤6.

Answer 1

`0` (no change)

Explanation:

Recall that the average rate of change of a function
`f(x)` over the interval
`[a,b]` is equal to
`(f(b)-f(a))/(b-a)`:

`(h(b)-h(a))/(b-a)\\ \\(h(6)-h(1))/(6-1)\\\\(0-0)/(5)\\ \\0`

Hence, the average rate of change of the function
`h(x)` over the interval
`[1,6]` is
`0`, or no change.