1) In the following problem the average yearly tuition and required fees, in dollars, charged by American private universities in the school year beginning in the given year are provided: Date Average Tuition 1994 $ 13, 821 1996 $ 15, 553 1998 $ 17, 285 3) Explain why this information can be viewed as a linear function. h) At what rate per year do tuition and fees increase? Show all your work and write a ll sentence about your answer. c) Find an equation for the tuition and fees T in terms of time t: d) According to your equation, how much money was charged for tuition and fees in 1997? e) Would it make sense to use this equation to nd the tuition and fees for the year 2012? Why or why not? 2. For the following function nd the Emits requested. @ mper limit notation for lll credit. 0 a) The right-sided limit as x a 2*: b) The right-sided limit as x a 2': 0) Does the limit exist as x 'a 2? Explain using proper limit notation. d) Explain if the function f is continuous at x = -1 using the ofcial denition of continuity: 3. Find the derivative of f(x) = 6x' 8x + 21 by formula. Then nd the equation of the tangent line to the curve in the point P(-l, f(-l)). 4. Find g'(v) for g(v) = 5. Find the average rate of change of the function f(x) = x2 + 8x - 2 over the interval [1, 9]. SHOW all your work for full credit