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Q. 12

Expert-verified
Found in: Page 224

Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465

True or False. If the degree of the numerator of a rational function equals the degree of the denominator, then the ratio of the leading coefficients give rise to the horizontal asymptote.

The given statement "If the degree of the numerator of a rational function equals the degree of the denominator, then the ratio of the leading coefficients give rise to the horizontal asymptote." is true.

See the step by step solution

Step 1. Given information

The given information is " If the degree of the numerator of a rational function equals the degree of the denominator, then the ratio of the leading coefficients give rise to the horizontal asymptote. "

Step 2. True or false

We know that for a rational function having the same degree of the numerator and the denominator the horizontal asymptotes is equal to the ratio of leading coefficients of the numerator to that of the denominator.

Thus, the given statement is true.