State the power and constant of variation for the function, and then analyze it.f(x) = -7x4
What will be an ideal response?
Power is 4; constant of variation is -7; Domain: all reals; Range: (-?, 0] ; Continuous; Increasing on (-?, 0), Decreasing on (0, ?); Symmetric with respect to the y-axis (an even function); Bounded above but not below;
Local maximum at x = 0; No asymptotes;
End behavior: (-7x4) = -? and
(-7x4) = -?.
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Solve the problem.The range R of a projectile is related to the initial velocity v and projection angle ? by the equation where g is a constant. How is
related to
if ? is constant?
A. =
B. =
C. =
D. =
Solve the formula for the indicated variable. Then use the supplied values to solve the equation.The energy W stored by a capacitor is given by W = QV, where V is the voltage across the capacitor's terminals after Q coulombs of electricity have been transferred from one of the capacitor's plates to the other. Solve for Q. How many coulombs have been transferred if W is 0.47 watts and V is 15.8 volts? (All values are approximate.)
A. Q = = 3.7 coulombs
B. Q = = 0.059 coulombs
C. Q= W2V = 3.5 coulombs
D. Q = 2WV = 15 coulombs
Solve the problem.A retailer knows that n games can be sold in a month at a price of dollars per game. Assume that he buys each game for
and sells every one that he buys. If he wishes to make a profit of at least
per month on sales of this game, how many games must he sell each month?
A. He must sell 30 or fewer games. B. He must sell between 25 and 40 games, inclusive. C. He must sell between 30 and 50 games, inclusive. D. He must sell between 30 and 80 games, inclusive.
Graph the function. Give the domain and range.f(x) =
A. Domain: (-?, ?); Range: [0, ?)
B. Domain: (-?, ?); Range: [- 3, ?)
C. Domain: (-?, ?); Range: [0, ?)
D. Domain: (-?, ?); Range: [3, ?)