For each value of x, we will be evaluating the function;
In the first value of x, we have x = -8, and it is < -5, which means that the part of the function we will use is the first one, for x < -5:
[tex]k(-8)=15[/tex]
For the second value of x, we have x = 5, and it is > 1, it is, 1 < x, and for this reason, we will use the last part of the equation, as follows:
[tex]\begin{gathered} k(5)=7-\frac{5}{2} \\ \\ k(5)=\frac{14}{2}-\frac{5}{2} \\ \\ k(5)=\frac{14-5}{2} \\ \\ k(5)=\frac{9}{2} \end{gathered}[/tex]
