Question

Determine the range using interval notation f(x)= -1/2x-3 for the domain (-4,2]

Answer 1

We have the following:

`\begin{gathered} f(x)=-(1)/(2)x-3 \\ \end{gathered}`

the domain is the input values and the range the output values, therefore:

`\begin{gathered} f(-4)=-(1)/(2)\cdot-4-3=2-3=-1 \\ f(2)=-(1)/(2)\cdot2-3=-1-3=-4 \end{gathered}`

now, the range is:

`\lbrack-4,1)`

The answer is the option 2