Given :
A function f(x) for different range of x.
To Find :
The value of f( -3 ) .
Solution :
We have to find the value of function at x = -3.
Now, in the given figure -3 lies in range x ≤ -2 and definition of function at that range is :
[tex]f(x) = \dfrac{2}{x}[/tex]
So, putting value of x = -3 in above equation, we get :
[tex]f(-3) = \dfrac{2}{-3} \\\\f(-3) = \dfrac{-2}{3}[/tex]
Hence, this is the required solution.