Final answer:
The function is constant for the interval (6, ∞). Option d is correct.
Step-by-step explanation:
The function is constant for the interval (6, ∞).
To determine this, we need to examine the given function and see where the values remain the same.
Given the constants a = 1.00, b = 10.0, and c = -200, the function can be represented as f(x) = ax^2 + bx + c.
When we substitute the given values, we get f(x) = 1.00x^2 + 10.0x - 200.
When we simplify, we get a quadratic function.
The graph of a quadratic function forms a parabola.
Since the leading coefficient (a) is positive, the parabola opens upwards.
Therefore, it has a global minimum point.
The value of the function decreases until the minimum point and then increases after the minimum point. This means that the function is not constant for any interval except (6, ∞). Option d is correct.