Answer:
From top to bottom:
[tex]0, 1, 2, -8, -8[/tex]
Step-by-step explanation:
We are given the piecewise function:
[tex]g(x) = \left\{ \begin{array}{ll} 0.5x+1 & \text{if } x \leq 2 \\ -8 & \text{if } x > 2 \end{array} \right.[/tex]
Row 1:
We want to find g(-2).
Since -2 is less than (or equal to) 2, we will use the first equation. Thus:
[tex]g(-2)=0.5(-2)+1=-1+1=0[/tex]
Row 2:
Likewise, 0 is less than or equal to 2. We will continue to use the first equation:
[tex]g(0)=0.5(0)+1=1[/tex]
Row 3:
2 is not less than 2 but it is equal to 2. So we will continue to use the first equation:
[tex]g(2)=0.5(2)+1=1+1=2[/tex]
Row 4 and 5:
Both 4 and 6 are greater than 2. Thus, we will use the second equation. Therefore:
[tex]g(4)=-8\text{ and } g(6)=-8[/tex]
