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Determine the Equation of the Horizontal Asymptote for the Graph f(x)=log(x+5)+3f ( x ) = \log ( x + 5 ) + 3

Question 10

Multiple Choice

Determine the equation of the horizontal asymptote for the graph of this function, and state the domain and range of
this function.
- f(x) =log(x+5) +3f ( x ) = \log ( x + 5 ) + 3


A) Vertical asymptote: x=5x = 5 ;
Domain: (5,) ( 5 , \infty ) , Range: (,) ( - \infty , \infty )

B) Vertical asymptote: x=5x = - 5 ;
Domain: (5,) ( - 5 , \infty ) , Range: (,) ( - \infty , \infty )

C) Vertical asymptote: x=0x = 0 ;
Domain: (,0) ( - \infty , 0 ) , Range: (0,) ( 0 , \infty )

D) Vertical asymptote: x=+3x = + 3 ;
Domain: (+3,) ( + 3 , \infty ) , Range: (,) ( - \infty , \infty )

Correct Answer:

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