$\"\"$

Relation between $\"\"$ and $\"\"$ is $\"\"$ .

Where $\"\"$ is average rate during the first leg of trip.

$\"\"$ is average rate diruing the return trip.

(a).

There is a vertical asymptote at the real zero of the denominator $\"\"$ .

The ratio of the leading coefficients of the numerator and denominator, because the degrees of the polynomials are equal.

There is a horizantal asymptote at the numerator $\"\"$ . \ \

The function is $\"\"$ .

Graph :

Draw the coordinates.

Graph the function $\"\"$ .

$\"\"$

$\"\"$

(b).

Evaluate the function for each value of $\"\"$ to determine $\"\"$ .

$\"\"$ .

When $\"\"$ , $\"\"$ .

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

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

$\"\"$

(c).

$\"\"$ is not reasonable for this situation.

Reasoning :

$\"\"$ .

When $\"\"$ , $\"\"$

If $\"\"$ , then $\"\"$ will be negative and negative resistance is not possible.

$\"\"$

(a). Graph of the function $\"\"$ .

$\"\"$

(b).

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

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

(c). If $\"\"$ , then $\"\"$ will be negative.Negative resistance is not possible.