<p>Positive integral powers</p>
<p>Case 1. \(n \) is even.<br><br>The graph of \(y = x^n\)  typically looks like this:</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1780551728624-3u2jcih1s5j.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3ODA1NTE3Mjg2MjQtM3UyamNpaDFzNWoucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MzUwMzMzNiwiZXhwIjoxNzkzNTAzNjM2fQ.qQp60j3TifFGbuz4_KqyqtZw3vmk9QwrRqatWctjYV0" style="max-width: min(400px, 100%); height: auto; display: block;" alt="The graph of \(y = x^4\)." class="aligncenter custom-width" /></figure></div>
<p>Case 2.  \(n \) is odd.<br><br>The graph of \(y = x^n\) typically looks like this:</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1780551803565-l69clb1iufm.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3ODA1NTE4MDM1NjUtbDY5Y2xiMWl1Zm0ucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MzUwMzMzNiwiZXhwIjoxNzkzNTAzNjM2fQ.E_ldMymL2SonUeQ6nUwdEqzSX0z_6m5SRMt6Qd3Ojm4" style="max-width: min(400px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<p></p>

Case 1. \(n \) is even.

The graph of \(y = x^n\)  typically looks like this:

Case 2.  \(n \) is odd.

The graph of \(y = x^n\) typically looks like this:

Functions

International Baccalaureate Mathematics: Analysis and Approaches Higher Level

Power functions

Power functions