Final answer:
Without specific graphs or equations of f(x) and g(x), no conclusion can be drawn about their relationship at given x-values. We can deduce that a horizontal line graph of f(x) means it has a constant y-value for every x within its domain, and an instantaneous velocity of zero for a function implies its slope is zero at that point. so, option 2 is the correct answer.
Step-by-step explanation:
The question asks us to determine which statement is true regarding the graphed functions f(x) and g(x). It's important to understand that when evaluating a function at a particular point, such as f(0) or f(-2), we are looking for the y-value that corresponds to that x-value on the graph of the function. Given the information provided, we can't determine the exact relations between f(x) and g(x) without seeing their specific graphs or knowing their equations. However, based on the data we have, we can infer some details about f(x).
For example, a function graphed as a horizontal line means that for all values of x, f(x) is the same, indicating that its slope is zero because it has no rise over run. In the example where f(x) is restricted to 0 ≤ x ≤ 20, this would mean that regardless of the x-value, the y-value remains constant within that domain. If f(x) is a negative or positive constant, it would graph as a horizontal line at that value.
If a function has an instantaneous velocity of zero at a point, this implies that the slope of the position function at that point is also zero, because slope in this context is analogous to velocity.