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COLLEGE ENROLLMENT The Pennsylvania State University had enrollments of 40,571 students in 2000 and 44,112 students in 2008 at its main campus in University Park, Pennsylvania. (Source: Penn State Fact Book) (a) Assuming the enrollment growth is linear, find a linear model that gives the enrollment in terms of the year \(t\) where \(t=0\) corresponds to 2000. (b) Use your model from part (a) to predict the enrollments in 2010 and 2015. c) What is the slope of your model? Explain its meaning in the context of the situation.

COLLEGE ENROLLMENT The University of Florida had enrollments of 46,107 students in 2000 and 51,413 students in 2008. (Source: University of Florida) (a) What was the average annual change in enrollment from 2000 to 2008? (b) Use the average annual change in enrollment to estimate the enrollments in 2002, 2004, and 2006. (c) Write the equation of a line that represents the given data in terms of the year \(t\), where \(t = 0\) corresponds to 2000. What is its slope? Interpret the slope in the context of the problem. (d) Using the results of parts (a)-(c) write a short paragraph discussing the concepts of \(slope\) and \(average rate of change\).

Graph each of the functions with a graphing utility. Determine whether the function is \(even\), \(odd\), or \(neither\). \(f(x) = x^2 - x^4\) \(g(x) = 2x^3 + 1\) \(h(x) = x^5 - 2x^3 + x\) \(j(x) = 2 - x^6 - x^8\) \(k(x) = x^5 - 2x^4 + x - 2\) \(p(x) = x^9 + 3x^5 - x^3 + x\) What do you notice about the equations of functions that are odd? What do you notice about the equations off unctions that are even? Can you describe a way to identify a function as odd or even by inspecting the equation? Can you describe a way to identify a function as neither odd nor even by inspecting the equation?