1. (02.01 LC) What is the average rate of change of the function f(x) = ex over the interval [-3, t]? (6 points) O e(t3 -27) t+3 O -27 O - e-27 t+3 O ets - e -27 t - 3 2. (02.01 MC) Which of the following would not be a representation of the differentiable function f, where f '(2) = 4? (6 points) The slope of y = f(x) at x = 2 is 4. The slope of a line tangent to the graph of fat x = 2 is 4. O The instantaneous rate of change at x = 4 of f(x) is 2. O lim ! f(2+h)-f(2) = 4 h 3. (02.02 MC) 4x -3 for x24 Let f be the function defined as f(x)= 2 for * -1 x-(-1) Part C: Find the value for each of lim *)) and lim () or explain why it does not exist. X- -5 x-(-5) B i U Font Family5. (02.03 MC) If g(x) =*2x, then g '(x) is equal to which of the following? (6 points) O g' ( x) = x2 - 2 O g'(x) = * -x O g'(x) = X- 2 O g ' ( x ) = x - 2 6. (02.03 HC) The function fis defined by f(x) = - 0. Part A: Find f '(x). (4 points) Part B: Write an equation for the line tangent to the graph of fat x = 1. (6 points) B i U Font Family 7. (02.02 MC) Let f be the function given by f(x) = In x2 + cos x. What is the value of f '(2)? (6 points) O -0.091 O -0.752 1.159 0.091