$\"\"$

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The function is $\"\"$ .

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

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

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

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$\"\"$

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Graph :

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1. Draw a coordinate plane.

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2. Plot the coordinate points.

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

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$\"\"$

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Observe the above graph :

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

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

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

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$\"\"$ .

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

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$\"\"$

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

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

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$\"\"$ .

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

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

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

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

\ End behavior :

\"\"

and

\"\"

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

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

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$\"\"$

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

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

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

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

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

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

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