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Quiz2 Chapter3
1)Write as a product of linear factors: f(x) = x4- 5x3 + 8x2 - 20x + 16.
(a) (x + 2)(x - 2)(x - 4)(x - 1) (b) (x + 4)(x + 1)(x - 2i)(x + 2i) (c) (x - 4)(x - 1)(x + 2i)(x - 2i) (d) (x + 4)(x + 1)(x + 2i)(x + 2i) (e) None of these
2) Use the fact that 3i is a zero of f(x) to find the remaining zeros:
f(x) = x4 - 6x3+ 14x2 - 54x + 45.
(a) 0, -3i (b) -1, -5, -3i (c) 2, 3, -3i
(d) 1, 5, -3i (e) None of these
3) If 2i and 3 + sqrt(5) are roots of a rational coefficient fourth degree polynomial what are the other roots?
(a) -2i only (b) -2i and 5 - sqrt (3) (c) -2i and 3 - sqrt(5) (d) 3 - sqrt(5)
4)
Determine the horizontal asymptote of the graph above
(a) y = -1 (b) y = 1 (c) x = -1 (d) x = 1 (e) None of these
5) Find the vertical asymptote:
7 f(x) = --------- x + 2
(a) x = -2 (b) y = -2 (c) (0, -2) (d) y = 0 (e) None of these
6)
. x + 3 .Find the vertical asymptote(s): f(x) =________________ (x - 2)(x + 5) a) y = 2, y = -5, y = -3 (b) x = 2, x = -5, x = -3, x = 1 (c) x = 1 (d) x = 2, x = -5 (e) None of these
7)
. x2 - 1 .Find the horizontal asymptote(s): f(x) = _______ x2 + 9
(a) y = 1 (b) y = 0 (c) x = 1 (d) x = plus or minus 1 (e) None of these
x3 + 1 Find the domain: f(x) = ________ x2 + 4
(a) All reals (b) All reals except x = -2 (c) All reals except x = -1 (d) All reals except x = -2, -1 (e) None of these
9)
. 25,000 .Suppose the cost C of removing p% of pollutants is C =_________ 0 < p <100 100 - p 100. Find the cost of removing 90%. (a) $225,000 (b) $2778 (c) $2 (d) $2250 (e) None of these
10).
x2+ 3x + 1 .Find the horizontal or slant asymptote: f(x) =_____________ x + 1
a) x = -1 (b) y = x + 3 (c) y = x + 2 (d) y = 0 (e) None of these
Match the rational function with the correct graph above: f(x) = X + 6 x + 2 abcde Back