State the parent function that must be transformed to create the graph of each of the following functions. Then describe the transformations that must be applied to the parent function.
a)
b)
c)
d)
e)
f)
Sociologists have found that information spreads among a population at an exponential rate. Suppose that the function
Find derivatives for the functions. Assume a, b, c, and k are constants.
The following question consider the Gompertz equation, a modification for logistic growth, which is often used for modeling cancer growth, specifically the number of tumor cells. [T] The Gompertz equation has been used to model tumor growth in the human body. Starting from one tumor cell on day 1 and assuming \(α=0.1\) and a carrying capacity of 10 million cells, how long does it take to reach “detection” stage at 5 million cells?
Determine whether the given function is linear, exponential, or neither. For those that are linear functions, find a linear function that models the data. for those that are exponential, find an exponential function that models the data.