Answer:
(0, 6)
Explanation:
Given the function f(x) defined on the restricted domain (-3,6) below:
[tex]f(x)=-\frac{2}{3}x+4[/tex][tex]\begin{gathered} When\; x=-3,f(x)=-\frac{2}{3}(-3)+4=2+4=6 \\ When\; x=6,f(x)=-\frac{2}{3}(6)+4=-4+4=0 \end{gathered}[/tex]The range of this function in interval notation is, therefore:
[tex](0,6)[/tex]