(25 points) Let (x) = x+3 x - 3 ' a. What are the x and y intercepts for f (x). b. Are there any horizontal or vertical asymptotes? If so, what are they? c. Create a number line for the function f (x) d. Discuss where f (x) increases/decreases, classify any local extreme values, and give the number line for f'(x). e. Discuss the concavity of f (x), list any points of inflection, and give the number line for f"(x). f. Sketch the graph of f (x) on the back page of the test or include your own page