The Curve has negative rate of change for negative values of x
I.e in the interval - infinity to 0
Step-by-step explanation:
Step 1:
The change in the rate for the given function is obtained calculating the first derivative.
So dy/dx = dH(x)/dx = 2*x
Step 2:
This rate of change will be negative when the dy/ dx is less than 0
So dy/dx = 2x < 0 => x< 0
So for values of x less than 0 the function has negative values for the rate of change.