The function is
.
Make the table of values to find ordered pairs that satisfy the function.
\Choose values for
and find the corresponding values for
.
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Graph :
\1. Draw a coordinate plane.
\2. Plot the coordinate points.
\3. Then sketch the graph, connecting the points with a smooth curve.
\.gif\")
Observe the above graph :
\Domain of the function is all real numbers.
\Range of the function is
.
Find
- intercept by substituting
in
.

Apply logarithm on each side.
\

intercept is
.
- intercepts is
.
The line
is the horizontal asymptote of the curve
.
If either
or
.

.
is the horizontal asymptote of the function.
Observe the above graph the function does not have vertical asymptote.
\End behavior :
and
.
The function is continuous for all real numbers.
\Increasing over the interval :
.
.gif\")
Domain of the function is all real numbers.
\Range of the function is
.
intercept is
.
- intercepts is
.
is the horizontal asymptote of the function.
End behavior :
and
.
The function is continuous for all real numbers.
\Increasing over the interval :
.