Question

This equation models the height over time of a shallow-water sensor. Graph the function. Then mark the vertex and any intercepts that are reasonable in terms of the applicable domain and range for this situation.

Answer 1

To graph the function that models the height over time of a shallow-water sensor, plot the values of height on the vertical axis and time on the horizontal axis. Mark any intercepts that are reasonable within the domain and range.

Step-by-step explanation:

To graph the function that models the height over time of a shallow-water sensor, we need to plot the values of height (y) on the vertical axis and time (t) on the horizontal axis. The function given is y(x, t) = -2.77e, where e is a constant.

To mark the vertex, we need to find the highest or lowest point on the graph. Since the equation does not include any quadratic terms, we can't determine a specific vertex.

However, we can mark any intercepts that are reasonable within the domain and range of the situation. For example, if the height of the sensor at time t = 0 is 0.5 meters, we can plot a point at (0, 0.5) on the graph.