In mathematics, a function expresses a relationship between an input and an output. When evaluating functions from tables and graphs, you're essentially finding the output (often denoted as $f(x)$ or $y$) that corresponds to a given input ($x$). Tables provide a direct lookup, while graphs require you to locate the $x$ value on the horizontal axis and then find the corresponding $y$ value on the vertical axis. Understanding this helps in real-world applications like predicting trends or analyzing data.
Let's practice evaluating functions using tables and graphs!
Match each term with its definition:
| Term | Definition |
|---|---|
| 1. Function | A. A visual representation of a relationship between two variables. |
| 2. Input | B. The value that is produced from a function. |
| 3. Output | C. A relationship where each input has only one output. |
| 4. Table | D. The value that is entered into a function. |
| 5. Graph | E. An organized way to display data in rows and columns. |
Complete the following paragraph using the words provided: input, output, function, graph, table.
A ________ is a relationship between an ________ and an ________. A ________ can be used to look up values, while a ________ provides a visual representation of the relationship.
Explain, in your own words, how you can determine if a relationship represented in a table is a function.
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