The graph of a functiony=g(x)

on the domain −4 ≤x≤ 4

consists of line segments and semicircles of radius 1 connecting the points (−4, 0), (−2, 2), (0, 2), (2, 2), (4, 0).

(c) Find the multipart formula for y=g(x)

if -4≤x≤-2

if -2≤x≤0

if 0≤x≤2

if 2≤x≤4

to solve this, I used the formula of the line for

(-4≤x≤-2) = y= -x-4

(2≤x≤-2) = y=

and the pos/neg semi-circle equations for

(-2≤x≤0) =y =2+sqrt(x^{2}-2x)

(0≤x≤2) = y = 2-sqrt(x^{2}-2x)

But none of my answers were correct. what should I try now?