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 :$H.y=1-{\log }_{3}x$

Step-by-step solution

Step 1. Given information 

Given graph is :

Step 2. Points on the curve 

The points are :

$x$	$y=1-{\log }_{3}x$
$\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.$	$2$
$1$	$1$
$3$	$0$

Step 3. Graph of the function 

The graph of the function $y=1-{\log }_{3}x$is :