The goal for this Section is to analyze and graph the functions below. Kindly follow the format and prompts below: What are the intercepts of f(x)? Find the first derivative of f(x) and perform a sign analysis of this derivative. In your chart, identify the interval/s where the function is increasing or decreasing. Does f(x) have a local maximum or minimum? Where? Give exact x-coordinates, but you may approximate the y-coordinates. Find the second derivative of f(x) and perform a sign analysis of this derivative. In your chart, identify the interval/s where the function is concave up or down. . Does f(x) have inflection points? Where? Give exact x-coordinates, but you may approximate the y-coordinates. Sketch the graph of f(x) in the indicated window (by hand). To plot the points you found above, you will also need approximations for the x-coordinates. When you are satisfied with your work, you may go to GeoGebra to verify your answer, and make corrections, if necessary. You are not required to submit a screenshot from GeoGebra, just your hand-drawn graph. Find the absolute maximum and minimum of f(x) in the indicated window. 1. f(x) = (3x-8)ex/4 in the window x [-10, 5], y [-10, 30]. 2. f(x) = (2x+ 7)e-2/3 in the window x [-5,5], y = [-100,25]. 3. f(x) = 5ex/3 - 7ex/4 in the window xe [-10, 5], y = [-3,3].