Population growth: The growth G of a population over a week is a function of the population size n at the beginning of the week. If both n and G are measured in thousands of animals, the formula is
a. Make a graph of G versus n. Include values of n up to 25 thousand animals.
b. Use functional notation to express the growth over a week if the population at the beginning is 4 thousand animals, and then calculate that value.
c. Calculate G(22) and explain in practical terms what your answer means.
d. For what values of n is the function G increasing? Determine whether the graph is concave up or concave down for these values, and explain in practical terms what this means.
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