Answer:
The graph of pairwise function is shown below.
Step-by-step explanation:
The given piece wise function is
[tex]f(x)=\begin{cases}-0.5x+5 & \text{ if } x<1 \\ -0.5(x+5) & \text{ if } x\geq 1 \end{cases}[/tex]
It means for x<1, the function is defined as
[tex]f(x)=-0.5x+5[/tex]
At x=0,
[tex]f(0)=-0.5(0)+5=5[/tex]
At x=-1,
[tex]f(-1)=-0.5(-1)+5=5.5[/tex]
It means the graph passing through (0,5) and (-1,5.5). Joint these point to draw a line of x<1 and there is an open circle at x=1, because the the sign of inequality is <.
It means for x≥1, the function is defined as
[tex]f(x)=-0.5(x+5)[/tex]
At x=1,
[tex]f(1)=-0.5(1+5)=-3[/tex]
At x=2,
[tex]f(2)=-0.5(2+5)=-3.5[/tex]
It means the graph passing through (1,-3) and (2,-3.5). Joint these point to draw a line of x≥1 and there is an closed circle at x=1, because the the sign of inequality is ≥.
The graph of pairwise function is shown below.
