Then use transformations of this graph to graph the given function. Be sure to graph and give equations of the asymptotes. Use the graphs to determine each functions
Step 1
Step 2
Graph of
The graph of
Its asymptote has equation
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?
Graph f and g in the same rectangular coordinate system. Use transformations of the graph f of to obtain the graph of g. Graph and give equations of all asymptotes. Use the graphs to determine each function's domain and range.
h is related to one of the parent functions described in this chapter. Describe the sequence of transformations from f to h.