Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 2 - Nonlinear Functions - Chapter Review - Review Exercises - Page 113: 19

Answer

A function is a rule that assigns to each element from one set exactly one element from another set. A linear function is defined by $f(x)=ax+b$, where $a$ and $b$ are real numbers, with $a\neq 0$. A quadratic function is defined by $f(x)=ax^{2}+bx+c$, where $a, b$, and $c$ are real numbers, with $a\neq 0$. A rational function is defined by $f(x)=\displaystyle \frac{p(x)}{q(x)}$, where $p(x)$ and $q(x)$ are polynomial functions and $q(x)\neq 0$.

Work Step by Step

A function is a rule that assigns to each element from one set exactly one element from another set. A linear function is defined by $f(x)=ax+b$, where $a$ and $b$ are real numbers, with $a\neq 0$. A quadratic function is defined by $f(x)=ax^{2}+bx+c$, where $a, b$, and $c$ are real numbers, with $a\neq 0$. A rational function is defined by $f(x)=\displaystyle \frac{p(x)}{q(x)}$, where $p(x)$ and $q(x)$ are polynomial functions and $q(x)\neq 0$.
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