Determine a rational function that meets the given conditions, and sketch its graph. The function f has vertical asymptotes at x = - 2 and x = 0, a horizontal asymptote at y = -3, and f(1) = 0.

A. f(x) = 

B. f(x) = 

C. f(x) = 

D. f(x) = 


Answer: D

Mathematics

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Express the statement as an algebraic expression.The quotient of a number and 41

A.
B. 41 - x
C. 41x
D.

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Use logarithmic differentiation to find the derivative of y.y = (x3 + 1)2(x - 1)4x3

A. (x3 + 1)2(x - 1)4x3
B. (x3 + 1)2(x - 1)4x3(2ln(x3 + 1) + 4ln(x - 1) + 3ln x)
C.  +  + 
D. (x3 + 1)2(x - 1)4x3

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Multiply. ? 

A.
B.
C.
D.

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Find the equation of the tangent line to the curve when x has the given value.f(x) = x2 + 5x ; x = 4

A. y = -  +  
B. y =  + 
C. y = 13x - 16
D. y = -39x - 80

Mathematics