For the dropdowns, I have shown the two options for it. These options are the same for all of the other dropdowns.

Analyze the polynomial function f(x) = 81x - x" . Answer parts (a) through (e). [Hint: First factor the polynomial.] (a) Determine the end behavior of the graph of the function. The graph of f 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 (Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.)Analyze the polynomial function x) = 31x :3. Answer parts [a] through {e}. [Hint First factor the polynomial_] E3 the xaxis at each xintercept. The zeroisji off islare E. (Type an integer or a simplied fraction. Use a comma to separate answers as needed. Type each answer only once.) The smallest zero is a zero of multiplicity D; so the graph off |:| the x-axis at X = D. The middle zero is a zero of multiplicity D: so the graph off |:| the xaxis at 3-: = D. The largest zero is a zero of multiplicity El: so the graph off El the x-axis at X = D. | aximum number of turning points on the graph of the function. iction will have at most |:| turning points. crosses ion in parts {a} through {d} to draw a complete graph of the function. Choose the correct graph below. touches Analyze the polynomial function fix) = 31x- 5:\". Answer parts [a] through {us}. [Hint First factor the polynomial.] the xaxis at each xintercept. The zeroisji off isi'are El. [Type an integer or a simplied fraction. Use a comma to separate answers as needed. Type each answer only once.) The smallest zero is a zero of multiplicity El: so the graph off |:| the xaxis at X = CI. The middle zero is a zero of multiplicity D. so the graph off 1' the xaxis at x = D The largest zero is a zero of multiplicity El. so the graph off |:| the x-axis at x = D. [d] Determine the maximum number of turning points on the graph of the function. The graph of the function will have at most El turning points. [at Use the information in parts {a} through [d] to draw a complete graph of the function. Choose the correct graph below