Question

Given f(x)=- 2/3 x + 4 and f(x) has a restricted domain of(-3,6), state the range of this function in interval notation.

Answer 1

Answer:

(0, 6)

Explanation:

Given the function f(x) defined on the restricted domain (-3,6) below:

$f(x)=-\frac{2}{3}x+4$

$\begin{gathered} When\; x=-3,f(x)=-\frac{2}{3}(-3)+4=2+4=6 \\ When\; x=6,f(x)=-\frac{2}{3}(6)+4=-4+4=0 \end{gathered}$

The range of this function in interval notation is, therefore:

$(0,6)$