Precalculus 2014
45

 PAGE: 139 SET: Exercises PROBLEM: 45

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 , .

When , .

When , .

When ,.

When ,.

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.

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