Height Time
1. The problem provides a set of data points relating time in hours to height in meters: Time (hours) = $0, 1, 2, 3$ and Height (m) = $16, 58, 4, 38$.
2. We want to understand the relationship between time and height, possibly by plotting or analyzing the data.
3. Since the data points do not follow a clear linear or simple pattern, we can consider plotting the points or analyzing them individually.
4. The graph described is a vertical line graph for height with a scale labeled "A" between 0 and increments along the height axis, placed center-bottom.
5. This suggests the height values are represented vertically, but the time values are discrete points along the horizontal axis.
6. To represent this data mathematically, we can consider the function as a set of points: $$\{(0,16), (1,58), (2,4), (3,38)\}$$.
7. Since the data is discrete and irregular, no simple function $y=f(x)$ fits all points exactly without interpolation.
8. For graphing purposes, the function can be represented as piecewise or as points.
Final answer: The data points are $$\{(0,16), (1,58), (2,4), (3,38)\}$$ representing height at given times.