5. Graph the polynomial equation H(x) = x^3-7x^2-x+7. Part I: Describe the end behaviors of the graph of H(x). Part II: What can you say about the number of extreme values H(x) will have? Part III: Find the x-intercepts. Part IV: Find the y-intercept and write it as a coordinate pair. Part V: Plot the x- and y-intercepts and sketch the end behaviors on the graph. Hint: Refer to your answers to Parts I, III, and IV. Part VI: Fill in the table to calculate some intermediate points. Plot these points to complete your sketch of the graph in Part V above. Estimate the location of the relative maximum and minimum values.