The function

is used in biology to give the growth rate of a population in the presence of a quantity x of food. This is called Michaelis- Menten kinetics.
(a) What is a reasonable domain for this function, considering what x represents?
(b) Graph this function for K = 5 and A = 2.
(c) Show that y = K is a horizontal asymptote.
(d) What do you think K represents?
(e) Show that A represents the quantity of food for which the growth rate is half of its maximum.

Transcribed Image Text:

f(x) = Κx A + x