The graph of a function
y =g(x)
on the domain
−8 ≤ x ≤ 8
consists of line segments and semicircles of radius 2 connectingthe points
(−8, 0), (−4, 4), (0, 4), (4, 4), (8, 0).
(a) What is the range of g?
0 < y < 60 ≤ y ≤4    0 ≤ y ≤ 20 < y <40 ≤ y ≤ 6
(b) Where is the function increasing? (Select all that apply.)
−8 ≤ x ≤ −2−2 ≤ x ≤ 22 ≤ x ≤ 44 ≤ x ≤8−8 ≤ x ≤ 8
Where is the function decreasing? (Select all that apply.)
−8 ≤ x ≤ −2−2 ≤ x ≤ 22 ≤ x ≤ 44 ≤ x ≤8−8 ≤ x ≤ 8
(c) Find the multipart formula for y =g(x) if
|     | if −8 ≤x ≤ −4 |
| | if −4 ≤x ≤ 0 |
| | if 0 ≤x ≤ 4 |
| | if 4 ≤x ≤ 8 |
(d) If we restrict the function to the smaller domain
−6 ≤ x ≤ 0,
what is the range?
0 ≤ y ≤ 62 ≤ y ≤ 6    0 ≤y ≤ 42 ≤ y ≤ 40 ≤ y ≤ 2
(e) If we restrict the function to the smaller domain
0 ≤ x ≤ 4,
what is the range?
2 ≤ y ≤ 40 ≤ y ≤ 2    0 ≤y ≤ 64 ≤ y ≤ 60 ≤ y ≤ 4
