Graph the function $f ( x ) = - \log _ { 2 } ( x - 1 )$ .

Name: Graph the function $f ( x ) = - \log _ { 2 } ( x - 1 )$ .
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Question

Quizplus · Accepted Answer

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.

Graph the Function f(x)=−log⁡2(x−1)f ( x ) = - \log _ { 2 } ( x - 1 )f(x)=−log2​(x−1)

Graph the Function $f ( x ) = - \log _ { 2 } ( x - 1 )$