See below
Step-by-step explanation:
we are given a function and the inputs (x)
so we just need to substitute the values of inputs (x) to the function and simplify
our given function:
[tex] \displaystyle \: f(x) = \frac{x}{2} - 1[/tex]
when x is -2 then
[tex] \displaystyle \: f( - 2) = \frac{ - 2}{2} - 1[/tex]
simplify division:
[tex] \displaystyle \: f( - 2) = - 1 - 1[/tex]
simplify subtraction:
[tex] \displaystyle \: f( - 2) = - 2[/tex]
when x is 0 then
[tex] \displaystyle \: f(0) = \frac{0}{2} - 1[/tex]
simplify division:
[tex] \displaystyle \: f(0) = 0 - 1[/tex]
simplify substraction:
[tex] \displaystyle \: f(0) = - 1[/tex]
when x is 4 then
[tex] \displaystyle \: f(4) = \frac{4}{2} - 1[/tex]
simplify division:
[tex] \displaystyle \: f(4) = 2 - 1[/tex]
simplify subtraction:
[tex] \displaystyle \: f(4) = 1[/tex]
when x is 8 then
[tex] \displaystyle \: f(8) = \frac{8}{2} - 1[/tex]
simplify division
[tex] \displaystyle \: f(8) = 4 - 1[/tex]
simplify subtraction:
[tex] \displaystyle \: f(8) = 3[/tex]