math - The volume, y, of coral in cubic centimeters is modeled by the equation y = 1,200 * 2x where x is the number of years since the coral was measured. Three students used graphing technology to graph the equation that represents the volume of coral as a function of time. In your guided notes question 5: ⦁ Describe how well each graphing window does, or does not, show the behavior of the function. ⦁ Then, for each graphing window you think does not show the behavior of the function well, describe how you would change it.

Sangeetha Pulapaka (last edited 1 year ago) (Expert, Educator @Qalaxia)

Since x is the time in years, since the coral was measured, and y is the volume of the coral in cubic centimeters.

1.Graph A only shows the years below year 0. It shows only the negative values of x and the associated negative values of y. The exponential function graph should also show positive values of x and y.

Graph B covers the years from year 0 to year 9, but it shows only one negative value of x and y. The scale is not easy to read as the points are close to one another. The exponential function graph should be graphed on a reasonable set of axes, to make it easier to read.

Graph C is easier to read, and it shows the volume of the coral until year 6.

2.I would change Graph A so it shows the years after year 0. I would change the scale in Graph B so it would become more easy to read, by labeling the points and plotting the points on a reasonable set of axis.

3.The graph would look as shown below.

Source:

https://process.fs.learnzillioncdn.com/AKf9PqcK6SSCxh8nhxwNwz/security=policy:eyJoYW5kbGUiOiJocmJoeGxyQlJVR3ZUR3duT2pHdyIsImNhbGwiOiJyZWFkLGNvbnZlcnQiLCJleHBpcnkiOjE5MjQ5OTIwMDB9,signature:6782196ca2e8ad8d69a653f7e2f1b8e983f77d1966cdff6a32c5c04797d88199/output=format:pdf/hrbhxlrBRUGvTGwnOjGw