**This assignment must be completed without using graphing technology. *** 1. Analyze the function f (x) = x +x -17x+15 to identify its key characteristics then carefully sketch its graph. a) Degree = b) Leading term = c) y - intercept = d) Begins in quadrant and ends in quadrant e) Use synthetic division/factor theorem to factor f (x) then write the factored form of f (x) below. Factored form: f (x) = f) Identify the zeros of f (x) and their corresponding multiplicities. M M M g) Perform sign analysis below and indicate the intervals where f(x) is positive, where it is negative and sketch.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 = b) Leading term = c) y - intercept = 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