Exponential Growth & Decay
- Author:
- Jason Miner
Enter a value for the initial population and the value of k (note that this will need to be found from other information such as a second known time-population pair). Slide the red point along the x-axis, noting the time and population. What does the y-intercept represent? What is happening to the slope of the tangent as time increases? When has the population doubled?
What happens if you enter a negative value for k? What is happening to the slope of the tangent as time increases? When has the population halved?
To change the viewing window, hold the shift button and left-click to drag the graph or use the scroll wheel to zoom in/out. You can also adjust the axes by holding the shift button and left-click on the axis you want to change.