Without graphing, determine whether the graph of the quadratic function opens up or opens down. Also, determine of the graph will be wider or narrower than the graph of y = x2.f(x) = -3 + 6x2 - 4

A. down, wider
B. down, narrower
C. up, wider
D. up, narrower


Answer: D

Mathematics

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Find all the roots of the function. Use preliminary analysis and graphing to determine good initial approximations. Round to six decimal places.f(x) = csc x - 2x on [0, 4]

A. x ? 0.740730, 2.972474 B. x ? 0.850852, 2.862574 C. x ? 0.740841, 2.972585 D. x ? 0.850841, 3.082585

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Solve the inequality and graph the solution.-4(3y - 7) < -16y + 8

A. y ? -5  
B. y > -5  
C. y ? -5  
D. y < -5  

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Provide an appropriate response.Determine if  converges or diverges. If it converges, to what number does it converge?

Fill in the blank(s) with the appropriate word(s).

Mathematics

Solve the problem.Toss a coin four times. How many possible sequences of heads or tails are there?

Fill in the blank(s) with the appropriate word(s).

Mathematics