Analyze the polynomial function f(x) = 7x (x - 4) (x+3). Complete parts (a) through (h). %3D (a) Determine the end behavior of the graph of the function. The graph off behaves like y = for large values of x. (b) Find the x- and y-intercepts of the graph of the function. The x-intercept(s) is/are (Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.) The y-intercept is: (Type an integer or a simplified fraction.) (c) Determine the zeros of the function and their multiplicity. Use this information to determine whether the graph crosses or touches the x-axis at each x-intercept. The zero(s) of f is/are (Use a comma to separate answers as needed. Type each answer only once.) Starting from smallest to largest, the first zero of the function is of multiplicity so the graph of f the x-axis at x = The second zero of the function is of multiplicity, so the graph of f the x-axis at x = The third zero of the function is of multiplicity, so the graph of f the x-axis at x = . The fourth zero of the function is of multiplicity. so the graph of f the x-axis at x = (d) Use a graphing utility to graph the function. Use the window [- 10,10,2] by [-110,110,11]. Choose the correct graph below. O A. O B. Oc. D. Analyze the polynomial function f(x) = 7x (x - 4) (x+3). Complete parts (a) through (h). (e) Approximate the turning point(s) of the graph. The turning point(s) of the graph is/are at. (Type an ordered pair. Round each coordinate to two decimal places as needed. Use a comma to separate answers as needed.) (f) Use the above information to draw a complete graph of the function by hand. Choose the correct graph below. A. B. OC. D. 110- 110- 110- 110- х х -10 10 -10 10 -10 10 -10 10 -110- -110- 110- (g) Find the domain and the range of the function. The domain of the function is (Type your answer in interval notation. Round to two decimal places as needed.) The range of the function is. (Type your answer in interval notation. Round to two decimal places as needed.) (h) Use the graph to determine where the function is increasing and where it is decreasing. The function is increasing on the interval(s) (Type your answer in interval notation. Round to two decimal places as needed. Use a comma to separate answers as needed.) The function is decreasing on the interval(s) (Type your answer in interval notation. Round to two decimal places as needed. Use a comma to separate answers as needed.)