Question

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

Answer 1

Answer:

$0$ (no change)

Step-by-step explanation:

Recall that the average rate of change of a function $f(x)$ over the interval $[a,b]$ is equal to $\frac{f(b)-f(a)}{b-a}$:

$\frac{h(b)-h(a)}{b-a}\\ \\\frac{h(6)-h(1)}{6-1}\\\\\frac{0-0}{5}\\ \\0$

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