Find the average rate of change of the function from $x _ { 1 } = 0 \text { to } x _ { 2 } = 3$ $f ( x ) = - 4 x + 13$
A)The average rate of change from $x _ { 1 } = 0$ to $x _ { 2 } = 3$ is 13 .
B) The average rate of change from $x _ { 1 } = 0$ to $x _ { 2 } = 3$ is 4 .
C) The average rate of change from $x _ { 1 } = 0$ to $x _ { 2 } = 3$ is 19 .
D) The average rate of change from $x _ { 1 } = 0$ to $x _ { 2 } = 3$ is $- 4$.
E) The average rate of change from $x _ { 1 } = 0$ to $x _ { 2 } = 3$ is $- 13$.

Question

Find the average rate of change of the function from $x _ { 1 } = 0 \text { to } x _ { 2 } = 3$ $f ( x ) = - 4 x + 13$ 
A)The average rate of change from $x _ { 1 } = 0$ to $x _ { 2 } = 3$ is 13 .
B) The average rate of change from $x _ { 1 } = 0$ to $x _ { 2 } = 3$ is 4 .
C) The average rate of change from $x _ { 1 } = 0$ to $x _ { 2 } = 3$ is 19 .
D) The average rate of change from $x _ { 1 } = 0$ to $x _ { 2 } = 3$ is $- 4$.
E) The average rate of change from $x _ { 1 } = 0$ to $x _ { 2 } = 3$ is $- 13$.

Quizplus · Accepted Answer

The average rate of change of a function $f(x)$ from $x_1$ to $x_2$ is given by $\frac{f(x_2) - f(x_1)}{x_2 - x_1}$. For $f(x) = -4x + 13$, from $x_1 = 0$ to $x_2 = 3$, it is $\frac{(-4*3 + 13) - (13)}{3 - 0} = \frac{-12 + 13 - 13}{3} = \frac{-12}{3} = -4$.

Find the Average Rate of Change of the Function From x