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 $q(x)\neq 0$.