Graph the function f ( x ) = − log ⁡ 2 ( x − 1 ) f ( x ) = - \log _ { 2 } ( x - 1 ) f ( x ) = − lo g 2 ( x − 1 ) .A) B) C) D) E)

Question

Graph the function   f ( x )  = − log ⁡ 2 ( x − 1 )  f ( x )  = - \log _ { 2 } ( x - 1 )  f ( x )  = − lo g 2 ​ ( x − 1 )    .A)   B)   C)   D)   E)

Andrew Norcross · Accepted Answer

Final Answer : D, Explanation :  The domain of the function is all real numbers greater than 1, as the argument of the logarithm must be positive. The function is decreasing and asymptotic to the x-axis as x approaches 1 from above. The graph also has a vertical asymptote at x=1. Therefore, option D is the correct graph.

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Graph the function f(x) =−log⁡2(x−1) f ( x ) = - \log _ { 2 } ( x - 1 ) f(x) =−log2​(x−1) .A) B) C) D) E)

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