Answer :

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]

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