Logistics
functions of the form
^{ - (x - c) / d }]
are explored along with the properties of their graphs. Parameters a, b, c and d, defining function f are changed and their effects analyzed.
## Tutorial1 - click on the button above "draw" to disply the graph of the logistics function. 2 - What happens to the graph of the function as x increases? Change parameter a and see what happens. Find an analytical explanation. 3 - Set parameters a, b and d to constant values and change c. What happens to the graph? Find an analytical explanation. 4 - Set parameters to constant values and change d. What happens to the graphs? Find an analytical explanation.
## Answers to the Above Questions2 - As x starts from negative values and increases, f(x) starts from values close to zero then approaches a constant value equal to parameter a. y = a is a horizontal asymptote. 3 - The whole graph is shifted to the right when c increases and to the left when c decreases. 4 - For small values of d, the graph changes rapidly. For larger values of d the graph changes slowly. ## More References and LinksApplications, Graphs, Domain and Range of Functions |