<h2>Representations of Functions</h2>
<p>Functions can be expressed in many different ways for different purposes.</p>
<ol>
<li>
<p>Words: “The relationship between two variables is such that one is always \(\text{5}\) less than the other.”</p>
</li>
<li>
<p>Mapping diagram:</p>
<img alt="571a6de080af47317112eae49363de55.png" src="https://data.ulearngo.com/assets/073eb381-82a3-41ef-a754-b8368d882e37"/></li>
<li>
<p>Table:</p>
<div>
<table>
<tbody>
<tr>
<td>
<p><strong>Input variable</strong> \((x)\)</p>
</td>
<td>
<p>\(-\text{3}\)</p>
</td>
<td>
<p>\(\text{0}\)</p>
</td>
<td>
<p>\(\text{5}\)</p>
</td>
</tr>
<tr>
<td>
<p><strong>Output variable</strong> \((y)\)</p>
</td>
<td>
<p>\(-\text{8}\)</p>
</td>
<td>
<p>\(-\text{5}\)</p>
</td>
<td>
<p>\(\text{0}\)</p>
</td>
</tr>
</tbody>
</table>
</div>
</li>
<li>
<p>Set of ordered number pairs: \((-3;-8)\), \((0;-5)\), \((5;0)\)</p>
</li>
<li>
<p>Algebraic formula: \(f(x) = x - 5\)</p>
</li>
<li>
<p>Graph:</p>
<img alt="2e701d5bd7bbee98214916041c4ccb47.png" src="https://data.ulearngo.com/assets/3326ddfb-656a-4413-88dd-7028e5f1ff49"/></li>
</ol>
<section></section>

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Representations of Functions

Mathematics studies measurement, relationships, and properties of quantities and sets, using numbers and symbols. Arithmetic, algebra, geometry, and calculus are popular topics in mathematics.

Mathematics

Explore a comprehensive tutorial covering different types of functions, including linear, quadratic, exponential, hyperbolic, sine, cosine, and tangent, and their characteristics such as domain, range, notation, and graphing.


Input variable \((x)\)	\(-\text{3}\)	\(\text{0}\)	\(\text{5}\)
Output variable \((y)\)	\(-\text{8}\)	\(-\text{5}\)	\(\text{0}\)

Representations of Functions

Representations of Functions

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