Question

Find the average rate of change for the given function from x=-1 to x=4

Answer 1

Answer:

The average rate of change for the given function from $x=-1$ to $x=4$ is -1.

Step-by-step explanation:

The slope is the average rate of change of a line. For a straight line, slope remains constant throughout its entire span, It does not change anywhere.

Slope of the line joining $(-1, 5),(4, 0)$ is,

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\=\dfrac{0-5}{4-(-1)}\\\\=\dfrac{0-5}{4+1}\\\\=\dfrac{-5}{5}\\\\=-1$

Therefore, the average rate of change for the given function from $x=-1$ to $x=4$ is -1.