Answer:
In the interval (-∞, -5)
Step-by-step explanation:
Average rate of change of any graph is represented by the slope of the function in the given interval.
Rate of change = [tex]\frac{\triangle y}{\triangle x}[/tex]
[tex]\triangle y[/tex] = change in the y-coordinates
[tex]\triangle x[/tex] = change in the x-coordinates
If [tex]\triangle y[/tex] = 0, then the rate of change will be zero in that interval
From the graph attached,
From x = -∞ to x = -5, we find a flat line, showing [tex]\triangle y=0[/tex]
Therefore, average rate of change of h(x) in the interval (-∞, -5) is zero.
