rate of change= [tex] \frac{y2 - y1}{x2 - x1} [/tex] y2 and x2 being the coordinates of the point furthest from the (0,0) and x1 and y1 being the nearest
so if x1=2 then h(x)= 2^2 = 4
and if x2=4 then h(x)= 2^4=16
so rate of change is [tex] \frac{16 - 4}{4 - 2} = \frac{12}{2 } = 6[/tex]
