Final answer:
The constant negative value of h(x) suggests that f(x) is a linear function with a constant negative slope. The provided context does not directly relate to this problem and seems to contain references to different algebra concepts or functions.
Step-by-step explanation:
Given the problem where function g(x) is defined as g(x) = f(x+1) - f(x) and h(x) is given by h(x) = g(x+1) - g(x), we learn that h(x) equals -6 for all values of x. This suggests a consistent decrease in the rate at which g(x) changes, which could indicate that f(x) has a linear behavior with a negative slope, since g(x) represents the change in f(x).
Without the explicit function f(x), we cannot provide a specific equation, but we do understand that the negative uniform value of h(x) indicates a steady second derivative (if seen as a higher-order change) hinting at a simple linear function for f(x) with a constant negative slope. Moreover, the problem description provided does not seem to directly relate or provide further insight into the nature of f(x), as those parts might represent different function examples or general algebra concepts.
For a horizontal line graph of f(x), where the function is restricted between x = 0 and x = 20, it would imply that f(x) is constant over this interval. However, since we have a consistent value of h(x) that is negative, this scenario contradicts our initial condition, suggesting that there is an error in the context or a misunderstanding of the given information.