Final answer:
The function with the greater rate of change will have a steeper slope. To determine the x-intercept, set f(x) to zero and solve for x. Without specific details, we cannot definitively choose which function meets these criteria.
Step-by-step explanation:
To determine which function has a greater rate of change and x-intercept, we need to consider the slope and the point where the graph crosses the x-axis. The slope of a line is the measure of its steepness or the rate at which y changes with respect to x. In the described scenario, we are given that a line has a positive slope and a y-intercept of 50. Without the specific functions or additional details, we presume that a steeper line represents a greater rate of change.
For a car traveling twice as fast on a graph demonstrating perceived frequency, we would expect a line representing this to have a slope that is twice as steep as the original. When we label a graph with f(x) and x and set constraints on x, such as 0≤x≤ 20, we are defining the domain of the function.
If we reference FIGURE A1, it describes a line with a y-intercept at 9 and a slope of 3, meaning for every 1 unit increase in x, y increases by 3 units. The x-intercept would be the value of x where the function f(x) equals zero.
To answer the student's question, without specific functions or graphs provided, we cannot definitively select which option is correct. However, generally speaking, the line with the steeper slope will have the greater rate of change, and the x-intercept is found by solving when y=0.