Match each type of function with a description of its domain. Prompts \( \begin{array}{ll}\text { (1) polynomial function } & \text { Select match } \\ \text { (2) rational function } & \begin{array}{l}\text { The domain is all real numbers. } \\ \text { denominator zero. }\end{array} \\ \begin{array}{ll}\text { (3) square root function } & \begin{array}{l}\text { The domain is all real numbers except those that make the radicand } \\ \text { negative. }\end{array}\end{array}\end{array} \)
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Beyond the Answer
For a polynomial function, the domain is all real numbers. This means you can plug in any real number, and the output will always be defined. Think of it as a friendly function that welcomes everyone with open arms — no restrictions here! A rational function, on the other hand, has a chatty personality with some limitations. Its domain is all real numbers except those values that make the denominator zero. So, if you ever encounter a situation where the denominator hits rock bottom, it’s a “no entry” sign for that value! Always double-check to ensure your rational function doesn’t trip over those pesky zeroes!