c012c715-9678-480f-ae1d-300cd6245e29.html

<h4>Domain and Range from Graphs</h4>
<p>The graph below shows the distance Carl drives from home, \(D(t)\), when \(t\) is time in seconds.</p>
<p><img alt="Graph on coordinate grid, origin O." src="https://k12.openstax.org/contents/raise/resources/0620675d03fb438631bf2db6943c9b3b40818ca4"></p>
<ol class="os-raise-noindent">
  <li> What is the domain of the graph? </li>
</ol>
<p>The domain is \(x\)-values that are at least 0 and a maximum of 400.</p>
<ol class="os-raise-noindent" start="2">
  <li> What is the range of the graph? </li>
</ol>
<p>The range is the \(y\)-values that are at least 0 and a maximum of 285.</p>
<ol class="os-raise-noindent" start="3">
  <li> What are the values of \(x\) where \(D(x)=0\), and what do they mean? </li>
</ol>
<p>\(D(0)=0\) and \(D(400)=0\), and this is when Carl left home and then arrived home, so the distance was 0.</p>
<h4>Try It: Domain and Range from Graphs</h4>
<div class="os-raise-ib-cta" data-button-text="Solution" data-fire-event="Reveal1" data-schema-version="1.0">
  <div class="os-raise-ib-cta-content">
    <p>What are the values for the domain and range of the graph below?</p>
    <p><img alt="A graph.&nbsp;" class="img-fluid atto_image_button_text-bottom" height="298" src="https://k12.openstax.org/contents/raise/resources/64920b0a1a1d8f16acee7c4515291e57f258f65d" width="300"></p>
    <br>
  </div>
  <div class="os-raise-ib-cta-prompt">
    <p>Write down your answer, then select the <strong>solution</strong> button to compare your work. </p>
  </div>
</div>
<div class="os-raise-ib-content" data-schema-version="1.0" data-wait-for-event="Reveal1">
  <p>Here is how to find the domain and range of the graph:</p>
  <p>The domain includes the \(x\)-values or inputs of the graph. The domain is from at least 0 to at most 10.</p>
  <p>The range includes the \(y\)-values or outputs of the graph. The range is from at least 1 to at most 3.</p>
</div>