Answer:
The correct option is;
E. The whale touches the surface at the maximum
Please find attached the whale motion diagram
Step-by-step explanation:
The given function is f(x) = -4·x²
Therefore, we have;
x, f(x)
-5, -100
-4, -64
-3, -36
-2, -16
-1, -4
0, 0
1, -4
2, -16
3, -36
4, -64
5, -100
Which is the gives the singular maximum value for f(x) at x = 0, which is the surface of the water where the whale reaches for air
The errors in the other options are
A. The domain is always real
B. The range is (-∞, 0)
C. There is only one point where the whale touches the surface at x = 0
D. The values of f(x) initially rises, hen descends as the whale moves to the surface of the water and then descends.
