Find the vertex of the parabola by applying the vertex formula. g (x) =3x- -30x -77 X The vertex is (5, -75) (0,0) 0.0,. X 5The gas mileage m (x) (in mpg} fur a certain vehicle can be approximated by m (x) = 0.027x2+2.649x35.015, where x is the speed of the vehicle in mph. (a) Determine the speed at which the car gels its maximum mileage. Round your answer to the nearest mph. The gas mileage is at a maximum when he car travels at mph. (b) Determine the maximum gas mileage. Round your answerto DI'IE decimal place. The maximum gas mileage is E] mpg. =Ema E Find the zeros of the function and slate the multiplicities. f{x)=x3+2x225x50 If there is more than one answer, sepalate them with commas. Select 1\"Name" if applicable. Zen-(5) eff: 5 isazerc of multiplicity [:J. -2 is a zero of multiplicity [:J. 5 is a zero of multiplicity [:l. Find the zeros of the function and state the multiplicities. L (x) = 12x -75x-+ 75x If there is more than one answer, separate them with commas. Select "None" if applicable. Part: 0 / 2 Part 1 of 2 Zero(s) of L: 2, 3, 2 O None 0.0.... X 5Determine if the graph can represent a polynomial function. If so, assume that the end behavior and all turning points are represented in the graph. OO EO 2- -2 -1 2 -1- -2- (a) If the graph is a polynomial, determine the minimum degree of the polynomial. (b) If the graph is a polynomial, determine whether the leading coefficient is positive or negative based on the end behavior and whether the degree of the polynomial is odd or even. (c) If the graph is a polynomial, approximate the real zeros of the function, and determine if their multiplicities are even or odd. Part 1 of 3Consider the function h (x) =3? -4x2. The end behavior of the function is (Choose one} Y to the let and {Change one) V to the right. S] Espanol Consider the function h (x) =x* -4x . Part 1 of 4 The end behavior of the function is up to the left and up to Correct Answer: The end behavior of the function is down to the left and up to the right. Part: 1 / 4 Part 2 of 4 Write your answer as an ordered pair. If there is more than y-intercept, separate them wit applicable. J-intercept(s) : (0, 0) (0,0) None 0.0.... X 5Given f(x) =3x +19x -4x-60, answer the following. Part: 0 / 2 Part 1 of 2 Factor f (x), given that -2 is a zero. f ( x) = 3 2 X - 4x- - 4x + 16 70 XWrite a polynomial f (x) that meets the given conditions. Answers may vary. Degree 3 polynomial with zeros 2, -2, and 4. f(x) =] X 51Write the polynomial fr} that meets the given conditions. Answers may vary. Degree 3 polynomial with zeros of 3, 41', and 41'. x3 +lx+3x+43 fix) =