Sketching Polynomials using zeros, end behavior, and the leading coefficient test. To sketch the graph of a polynomial: STEP 1: (a) Find the x-intercepts, if any, by solving the equation /(x)=0. (b) Find the j-intercept by letting x=0 and finding the value of f(0). STEP 2: Determine whether the graph of f crosses or touches the x-axis at each X-intercept. STEP 3: Determine the end behavior: STEP 4: Determine the maximum number of turning points on the graph of f. STEP 5: Use the x-intercept(s) to find the intervals on which the graph of fis above the x-axis and the intervals on which the graph is below the x-axis. STEP 6: Plot the points obtained in Steps 1 and 5, and use the remaining information to connect them with a smooth, continuous curve. For each of the following: a) Describe the end behavior of the function. b) Find all real zeros of the polynomial functions. c) Determine the multiplicity of each zero and the number of turning points of the graph of the function. d) Sketch the graph. Be sure to find the x and y intercepts\f6) Refer to the graph below. Write a possible equation for this polynomial in factored form. 7) Refer to the graph below. Write a possible equation for this polynomial in factored form