Final answer:
The descriptions for Function A and Function B do not directly state their x-intercepts, but based on their y-intercepts and slopes, we can infer that Function A likely has one x-intercept and Function B begins with one x-intercept at the origin. The most accurate descriptions are difficult to determine without more information, but it appears Function A could have one and Function B could have at least one.
Step-by-step explanation:
The student is asking about the x-intercepts of two functions, Function A and Function B. Since the descriptions provided for both functions give us details about their y-intercepts and slopes but not directly about their x-intercepts, we must infer the x-intercepts based on this information.
For Function A, which 'Begins with a nonzero y-intercept with a downward slope that levels off at zero,' it suggests that the function starts above the x-axis and approaches the x-axis without crossing it. Therefore, Function A would likely have one x-intercept where it levels off at zero.
In contrast, Function B 'Begins at zero with a downward slope' indicates that it starts on the x-axis, implying it has an x-intercept at the origin if it were a linear function. Since the slope subsequently decreases in magnitude and levels off, the graph may be nonlinear, and there may be another x-intercept, but there is no clear evidence to determine this solely from the given description.
Considering this, the best match from the given options seems to be Part D, which states 'Function A has two x-intercepts. Function B has one x-intercept.' However, because the description for Function A implies it may only touch and not cross the x-axis, this could be a point of debate unless additional information about Function A's behavior after levelling off is provided.