Solution:
First i'm going to divide the graph into 3 parts. Linear, Quadratic and Horizontal graph.
Linear:
[tex]Slope=\frac{-2-0}{-4-(-2)}=1\\y=m(x-xo)+yo\\y=1x-(-2)+(-4)\\y=x-2 , x\leq-1[/tex]
Quadratic:
[tex]f(x) = a(x-h)^{2} + k\\f(x)=(x-2)^{2}-7,-1\leq x\geq 6[/tex]
Horizontal:
[tex]f(x)=7,x\geq 6[/tex]
Answer:
[tex]f(x)=x-2 , x\leq-1\\f(x)=(x-2)^{2}-7,-1\leq x\geq 6\\f(x)=7,x\geq 6[/tex]
Hope this was helpful.
