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MATH030 (125) College Algebra

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Solve the system of equations .

table ( (y = 3x - 4)(4y + 12x = -64) )
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A company that produces scooters has costs given by the function C(x) = 20x + 20,000, where x is the number of scooters manufactured and C(x) is measured in dollars. The average cost to manufacture each scooter is given by

(_) is over (C)(x) = (20x + 20,000/x).

What is the horizontal asymptote for the function (_) is over (C)? Describe what this means in practical terms.
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Find the horizontal asymptote, if any, of the graph of the rational function.

f(x) = (-3x + 4/5x - 3)
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Find the vertical asymptotes, if any, of the graph of the rational function.

(x - 64/(x) with superscript (2) - 15x + 54)
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Find the domain of the rational function.

g(x) = (x + 2/(x) with superscript (2) - 64)
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Determine the maximum possible number of turning points for the graph of the function.

f(x) = (x + 4)(x - 5)(x + 6)(x + 5)
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 Determine the end behavior of the polynomial function.

f(x) = -5x3 - 5x2 + 3x - 5
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Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept.

f(x) = (x + 1)(x - 4)(x - 1)2
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Determine whether the function is a polynomial function.

f(x) = 5x3 + 4x2 - 5x-2 + 16
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The profit that the vendor makes per day by selling x pretzels is given by the function P(x) = -0.002(x) with superscript (2) + 1.4x - 50. Find the number of pretzels that must be sold to maximize profit.
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