Question 2 Find the asymptotes of the function. x - 6 O Vertical asymptote at x = -6; horizontal asymptote at y = -3 O Vertical asymptote at x = 6; horizontal asymptote at y = -3 O Vertical asymptote at x = 6; horizontal asymptote at y = 0 O Vertical asymptote at x = -6; horizontal asymptote at y = 0 Question 3 Find any inflection points given the equation. f(x) = 2x3 +12x2+ 18x O No inflection points O Inflection point at (- 2, - 4) O Inflection points at (-1, -8), (-3, 0) O Inflection point: (0, 0)Question 4 Find all the critical numbers of the function. f (x) 6x x +1 O -1 O None O 6, 0 O 1Question 5 8 pts Solve the problem. Supertankers off-load oil at a docking facility shore point 5 miles offshore. The nearest refinery is 9 miles east of the docking facility. A pipeline must be constructed connecting the docking facility with the refinery. The pipeline costs $300,000 per mile if constructed underwater and $200,000 per mile if over land. Docking Facility 5 mil Shore line A B Refinery 9 mi Locate point B to minimize the cost of construction. O Point B is 2.50 miles from Point A. O Point B is 3.51 miles from Point A. O Point B is 4.47 miles from Point A. O Point B is 5.66 miles from Point A.Question 6 8 Solve the problem. A piece of molding 170 cm long is to be cut to form a rectangular picture frame. What dimensions will enclose the largest area? 0 13.04 cm X 42.5 cm 0 34 cm X 34 cm 0 42.5 cm X 42.5 cm 0 13.04 cm X 13.04 cm Question 7 6 p1 Suppose that the function with the given graph is not flx), but f'(x). Find the locations of all extrema, and tell whether each extremum is a relative maximum or minimum. -7-6-5-4-3-2-1 0 Relative maximum at 0 0 Relative maximum at -3; relative minimum at 3 O No relative extrema 0 Relative minimum at 0 Question 8 Find the location and value of all relative extrema for the function. y 2 -2 O Relative minimum of 0 at -2. O Relative minimum of 0 at -2 ; Relative maximum of 2 at 0. O None O Relative maximum of 2 at 0. Question 9 Find the indicated derivative of the function. +(4 ) ( x ) of f ( x ) = 5x6 - 7x4+ 4x2 O 1,200x2 - 84 O 1,200x2 - 84x 1,800x2 - 168 1,800x2 - 168x