$\"\"$

The function is $\"\"$ .

$\"\"$ sometimes, always, or never have a horizontal asymptote at $\"\"$ if $\"\"$ and $\"\"$ are constants with $\"\"$ and $\"\"$ .

When $\"\"$ , the function will have a horizontal asymptote at $\"\"$ .

When $\"\"$ , the function will not have a horizontal asymptote at $\"\"$ .

$\"\"$

When $\"\"$ , the function will have a horizontal asymptote at $\"\"$ .

When $\"\"$ , the function will not have a horizontal asymptote at $\"\"$ .