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The function is $\"r(x)=5^{x}\"$ .

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

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

$\"x\"$	$\"r(x)=5^{x}\"$	$\"(x,$
$\"-4\"$	$\"f(-4)=5^{(-4)}=0.001\"$	$\"(-4,$
$\"-3\"$	$\"f(-3)=5^{(-3)}=0.008\"$	$\"(-3,$
$\"-2\"$	$\"f(-2)=5^{(-2)}=0.04\"$	$\"(-2,$
$\"-1\"$	$\"f(-1)=5^{(-1)}=0.2\"$	$\"(-1,$
$\"0\"$	$\"f(0)=5^{0}=1\"$	$\"(0,$
$\"1\"$	$\"f(1)=5^{(1)}=5\"$	$\"(1,$
$\"1.5\"$	$\"f(1.5)=5^{(1.5)}=11.18\"$	$\"(1.5,$

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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.

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Observe the above graph :

Domain of the function is all real numbers.

Range of the function is $\"(0,$ .

The function does not have the x-intercept.

$\"y\"$ - intercepts is $\"1\"$ .

The line $\"y=L.\"$ is the horizontal asymptote of the curve $\"y=f(x)\"$ .

If either $\"\\lim_{x$ or $\"\\lim_{x$ .

$\"\\lim_{x$

$\"\\\\=\\5^{-\\infty}}\\\\\\\\=\\frac{1}{5^{\\infty}}\"$

$\"=0\"$ .

$\"y=0\"$ is the horizontal asymptote of the function.

Observe the above graph vertical asymptote does not exist.

End behavior : $\"\\lim_{x\\rightarrow$ and $\"\\lim_{x\\rightarrow$ .

The function is continuous for all real numbers.

Increasing on the interval : $\"\\left$ .

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The graph of the function $\"r(x)=5^{x}\"$ is :

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Domain of the function is all real numbers.

Range of the function is $\"(0,$ .

$\"y\"$ - intercepts is $\"1\"$ .

Horizontal asymptote of the function is $\"y=0\"$ .

End behavior : $\"\\lim_{x\\rightarrow$ and $\"\\lim_{x\\rightarrow$ .

The function increasing over the interval : $\"\\left$ .