Final answer:
The domain of the function f is [0, 20]. The function f does not have a vertex since it is a horizontal line. The integral of f is equal to the area of the rectangular region between x = 0 and x = 20.
Step-by-step explanation:
A) The domain of the function f is the set of all real numbers within the given interval, which is the range from 0 to 20 inclusive. So the domain of f is [0, 20].
B) Since f is a horizontal line, it does not have a vertex. The vertex is typically associated with quadratic functions, but f is a linear function.
C) The integral of a horizontal line is equal to the area under the line. In this case, since f is a horizontal line, the integral of f will be equal to the area of the rectangular region between x = 0 and x = 20. The area of a rectangle is given by the product of its base (width) and height. So the integral of f can be calculated as the length of the interval multiplied by the height of the line, which in this case is 20 units.
D) Since f is a horizontal line, it does not have any vertical asymptotes. Vertical asymptotes are typically associated with functions that have vertical behavior such as curves or asymptotes that approach infinity or negative infinity.