Polynomial Functions
The degree and leading coefficient of
p(x)=-4x3-7x5+3x2+5
What is degree 5 and leading coefficient -7?
The simplified form of
(y-5)/(2y-10).
What is 1/2?
The equation of the horizontal asymptote of
f(x)= 5x2/(x2-4).
What is y = 5?
The coordinates of the vertex of
f(x) = -0.5x2 - 2x - 5.
What is (-2, -3)?
The x-intercept(s) and y-intercept of
p(x)=(x-3)2(x+7).
What are (3, 0), (-7, 0) and what is (0, 63)?
The product of x2/(x2-4) and (x2+4x+4)/(x2-x).
What is (x2+2x)/(x2-3x+2)? (Accept answer in factored form.)
The equation(s) of the vertical asymptote(s) of
f(x)= 5x2/(x-2).
What is x = 2?
The vertex form of
f(x) = -0.5x2-2x-5.
What is f(x) = -0.5(x+2)2-3?
The end behavior of
p(x)=(x-3)2(x+7).
What is down left, up right?
The quotient of (x2-2x)/(x2+7x+10) and (x3-4x)/(x+5).
What is 1/(x+2)2?
The domain of
f(x) = 5x2/(x2-4).
What is x cannot equal 2 or -2?
The number of pianos produced and sold that will maximize the profit of
P(x) = -1.5x2+5100x +6000, where x is the number of pianos produced and sold and P(x) is the profit, in dollars.
What is 1700 pianos?
The maximum profit from the sales of grand pianos where x is the number of pianos produced and sold and P(x) is the profit, in dollars.
P(x)=-1.5x2+5100x-60000
What is $4,275,000?
The sum of (x-2)/(x-4) and 1/(x+4).
What is (x2+3x-12)/(x2-16)?
The average cost per unit, in dollars, when x units are produced is given by C(x) = (450+15x)/x.
The number of units produced for an average cost of $22.50 per unit.
What is 60 units?
The maximum revenue, in dollars, where x is the price of each hot dogs if
R(x) = -100x2+600x+1500.
What is $2400?
The price per hot dog needed to reach the maximum revenue, in dollars, where x is the price of each hot dog if
R(x) = -100x2+600x+1500.
What is $3.00 per hot dog?
The difference of 5/(x-5) and 3/x.
What is (2x+15)/(x2-5x)?
The equation and the interpretation of the horizontal asymptote for
C(x) = (450+15x)/x if C(x) is the average cost per unit, in dollars, and x is the number of units produced.
What is y = 15. As the number of units produced increases, the average cost levels off to $15 per unit.
The cost, in dollars, for computer chip production is given by C(x) = 9x + 14, and the revenue, in dollars, is given by R(x) = -0.3x2+56x, where x is the number of boxes of computer chips produced.
The equation of the profit function, P(x).
What is P(x) = -0.3x2+47x - 14?