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) = -?.

Mathematics

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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.  = 

Mathematics

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

Mathematics

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.

Mathematics

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, ?)

Mathematics