Need to verify, a constant function average rate of change is zero :

The slope of a function is also called the Average rate of change of the function.

The graph of constant function is neither increasing nor decreasing.

Slope of the constant function is zero.

Hence, Constant function $\"\"$ has an average rate of change of zero.

For instance, consider the constant function $\"\"$ .

Formula for the average rate of change from $\"\"$ to $\"\"$ is $\"\"$ .

Graph the function and find the average rate of change.

Graph:

$\"\"$

Compute the average rate of change of $\"\"$ on the interval $\"\"$ .

In this case $\"\"$ .

$\"\"$ and $\"\"$ .

Substitute $\"\"$ in $\"\"$ .

$\"\"$

Average rate of change of $\"\"$ on the interval $\"\"$ is $\"\"$ .

Constant function $\"\"$ has an average rate of change of zero.

Average rate of change of $\"\"$ on the interval $\"\"$ is $\"\"$ .