Find the average rate of change of the function over the given interval. Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval. f(x)= -1/x, [1,2]

Find the average rate of change of the function over the given interval. Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval. f(t)=t^2-7, [3,3.1]

In this exercise, find the average rate of change of the function over the given interval. Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval.

$$f(x)=\frac{-1}{x}, \quad[1,2]$$

Find the average rate of change of the function over the given interval. Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval.

$f(x)=\frac{-1}{x}$, $\quad$ $[1,2]$

Find the average rate of change for the following on the given interval. Then find the instantaneous rate of change at the first $x$ -value. $y=6 x^{3}+2$ from $x=1$ to $x=4$

Find the average rate of change of the function over the given interval. Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval. f(x) = sin x, [0, π/6]

Find the average rate of change for the following on the given interval. Then find the instantaneous rate of change at the first $x$ -value. $y=\frac{-6}{3 x-5}$ from from $x=4$ to $x=9$.

Find the average rate of change of the function over the given interval. Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval.

ƒ(t) = 2t + 7, [1,2]

Find the average rate of change of the function over the given interval. Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval.

$$f(t)=4t+5, \quad [1,2]$$

Find the average rate of change of the function over the given interval. Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval. \

$$g(x)=x^2+e^x, \quad[0,1]$$

Find the average rate of change of the function over the given interval. Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval. \

$$f(x)=\dfrac{-1}{x}, \quad[1,2]$$

Find the average rate of change of the function over the given interval. Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval. $g(x)=x^{2}+e^{x}$, [0, 1]

Find the average rate of change of the function over the given interval. Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval.

$$f(x)=\frac{-1}{x},\quad [1,2]$$

What is the average rate of change over an interval?