we have the function
[tex]f(x)=\frac{x}{x-2}[/tex]
To find out the instantaneous rate of change without using derivatives, we need two points
For x=0
[tex]f(0)=\frac{0}{0-2}=0[/tex]
The first point is (0,0)
For x=-1
[tex]f(-1)=\frac{-1}{-1-2}=\frac{1}{3}[/tex]
The second point is (-1,1/3)
Find out the slope
[tex]\begin{gathered} m=\frac{\frac{1}{3}-0}{-1-0} \\ \\ m=-\frac{1}{3} \end{gathered}[/tex]
therefore
The instantaneous rate of change is -0.33
Verify the answer with the exact answer (with derivative)
