Is the function f (x) =4-7x a polynomial function? If so, state its degree and leading coefficient. O A. f(x) is not a polynomial function. O B. f(x) is a polynomial function. The degree is 7 and the leading coefficient is 4. O C. f (x) is a polynomial function. The degree is 5 and the leading coefficient is -7. O D. f (x) is a polynomial function. The degree is 5 and the leading coefficient is 4.Select the function whose end behavior is described by f (x) ->co as x -> co and f (x) ->-c0 as x -> -co. O A. f (x) = 7x -3x2-6 O B. f ( x) =--x 1 NI O C. f( x)=x5 -3x-67+x-1 O D. f(x) =-5x* NIW(2! Use the graph to answer the question. Determine which statements are true about the extrema of the graphed fourth degree polynomial. Select all that apply. [I A. (2,9.6?) and (3,075) are global minima for the function. El 3. (1.6.08) is the global maximum for the function. 0 C. (1.6.08) and (3.0.75) are local extreme for the function. E] D. (2,9.6?) is the global minimum for the function. Describe the behavior of the graph at the x-intercepts for the function / (x) =(2x-7) (x+3). Be sure to identify each x-intercept and explain what you know about each one based on the multiplicity of each factor.Use the Rational Zero Theorem to determine all possible rational zeroes of f0!) = 32? 2x2+5x+9. O A' 0. 12%, it, :3 O 3- $1.:1.:3,:9 3 O 011.13,:an 3 3 O D. 1 ii. 1:3, 1:9, :27 Use the Remainder Theorem to determine if x- 2 is a factor of the polynomial x) = 35-5-7? 11;r2 +2. Find the real zeroes of the polynomial function f (x) = x4 +6x3 -3x2 -52x-60. O A. -5, -3, -2, 2 O B. -5, -2, 3 O C. -2, 3, 5 O D. -5, -2, 2, 3Three zeroes of a fifth degree polynomial function are =, 4 -61 , and -2+11 . Determine the remaining zeroes of the function. O A. 4 + 6/, -2-11 O B. _1 4 + 6i, 2 + 11/ 3 O C. -4+61, 2-11 O D. 3, 4 + 6i, -2-11:\fFind ail the zeroes of the polynomial function f(x) = a3 - 5x2 +6x30. If you use synthetic division, show all three lines of numbers