2. Analyze the function f(x)=-(x-1) (x+1) (x+3) to identify its key characteristics then carefully sketch its graph. Produce the leading term and constant term below: a) Degree = c) y intercept = b) Leading term = d) Begins in quadrant and ends in quadrant e) Identify the zeros of f(x) and their corresponding multiplicities. M M M f) Perform sign analysis below and indicate the intervals where f(x) is positive, where it is negative and sketch.