$\"\"$

\

The function is $\"\"$ .

\

Make the table of values to find ordered pairs that satisfy the logarithm function.

\

Choose values for $\"\"$ and find the corresponding values for $\"\"$ .

\ \

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$

\

$\"\"$

\

Graph :

\

\

1. Draw a coordinate plane.

\

2. Plot the coordinate points.

\

3. Then sketch the graph, connecting the points with a smooth curve.

\

$\"\"$

\

Observe the above graph :

\

Domain of the function is $\"\"$ .

\

Range of the function is $\"\"$ .

\

Find $\"x\"$ -intercept by substituting $\"\"$ in $\"\"$ .

\

$\"\"$

\

Apply definition of logarithm : $\"\"$ if and only if $\"\"$ .

\

$\"\"$

\

$\"\"$ intercept is $\"\"$ .

\

Find $\"\"$ -intercept by substituting $\"\"$ in $\"\"$ .

\

$\"\"$ .

\

Since $\"\"$ is not in the domain of logarithm $\"\"$ -intercept not exist.

\

Observe the above graph the function does not have horizontal asymptote.

\

The equation of vertical asymptote of graph of the function $\"\"$ is $\"\"$ .

\

Thus the vertical asymptote of graph function $\"\"$ is $\"\"$ .

\

End behavior : $\"\"$ and $\"\"$ .

\

Increasing over the interval : $\"\"$ . $\"\"$

\

Graph of the function $\"\"$ is :

\

$\"\"$

\

Domain of the function is $\"\"$ .

\

Range of the function is $\"\"$ .

\

$\"\"$ -intercept is $\"\"$ .

\

The vertical asymptote of graph function $\"\"$ is $\"\"$ .

\

End behavior : $\"\"$ and $\"\"$ .

\

Increasing over the interval : $\"\"$ .

\