Precalculus with Limits: A Graphing Approach, Sixth Edition
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Precalculus with Limits: A Graphing Approach, Sixth Edition View details
6. Rational Functions and Asymptotes
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Exercise 1 Page 147

How do you call a number that can be written as a fraction with a nonzero denominator?

rational functions

We will complete the sentence.

Functions of the form f(x)=N(x)/D(x), where N(x) and D(x) are polynomials and D(x) is not the zero polynomial, are called .

This type of function can be written as a fraction, where the numerator and the denominator are polynomials. f(x) = N(x)/D(x), D(x)≠ 0 This concept is very similar to the definition of rational numbers. A rational number is a number that can be written as a ratio of two integers, where the denominator cannot be equal to 0. c = a/b, b ≠ 0 Functions in the form of N(x)D(x) are called rational functions. Finally, let's fill in the blank!

Functions of the form f(x)=N(x)/D(x), where N(x) and D(x) are polynomials and D(x) is not the zero polynomial, are called rational functions.