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

(0, 6)

Step-by-step explanation:

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

`f(x)=-(2)/(3)x+4`

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

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

`(0,6)`