Question

Match the graph with a logarithmic function :

The functions are :

$$\begin{gathered} A.y={\log }_{3}x \\ B.y={\log }_3(-x) \\ C.y=-{\log }_{3}x \\ D.y=-{\log }_3(-x) \\ E.y={\log }_{3}x-1 \\ F.y={\log }_3(x-1) \\ G.y={\log }_3(1-x) \\ H.y=1-{\log }_{3}x \end{gathered}$$

Short answer

The following graph matches with the function is :$B.y={\log }_3(-x)$

Step-by-step solution

Step 1. Given information

Given graph is :

Step 2. Points on the curve

The points are :

$x$	$y={\log }_3(-x)$
$-0.333$	$-1$
$-1$	$0$
$-3$	$1$

Step 3. Graph of the function

The graph of the function$y={\log }_3(-x)$is :