Chapter 5.4, Problem 65AYU

In Problems 65-72, the graph of a logarithmic function is given. Match each graph to one of the following functions:

(A) $y={\log }_{3}x$

(B) $y={\log }_3\left(-x\right)$

(C) $y=-{\log }_{3}x$

(D) $y=-{\log }_3\left(-x\right)$

(E) $y={\log }_3\left(x-1\right)$

(F) $y={\log }_3\left(x-1\right)$

(G) $y={\log }_3\left(\text{1 }-x\right)$

(H) $y=\text{ 1 }-{\log }_{3}x$

To determine

To find: The graph of a logarithmic function. Match each graph to one of the following functions.

a. $y={\log }_{3}x$

b. $y={\log }_3\left(-x\right)$

c. $y=-{\log }_{3}x$

d. $y=-{\log }_3\left(-x\right)$

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

f. $y={\log }_3\left(x-1\right)$

g. $y={\log }_3\left(1-x\right)$

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

Answer to Problem 65AYU

d. $y=-{\log }_3\left(-x\right)$

Explanation of Solution

Given:

The graph of a logarithmic function.

Calculation:

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

Therefore answer is D.