17793129-0411-47d3-ad75-9a0cc2780ea0.html

<p>In this lesson, you learned how to:</p>
<ul>
  <li> Describe the effect of changing \(a\) and \(b\) on a graph that represents \(f(x)=a \cdot b^x\). </li>
  <li> Use equations and graphs to compare exponential functions. </li>
</ul>
<p>Here are the <strong>activities</strong> that helped you reach those goals:</p>
<ul>
  <li> 5.12.1: Modeling Exponential Decay </li>
  <ul>
    <li> In this activity, you practiced modeling a situation characterized by exponential decay with an equation. </li>
  </ul>
  <li> 5.12.2: Equations and Their Graphs </li>
  <ul>
    <li> In this activity, you examined how the numbers \(a\) and \(b\) influence the graph representing a function \(f\) defined by an equation of the form \(f(x)=a \cdot b^x\). </li>
    <li>5.12.2: Self Check</li>
    <li> 5.12.2: Additional Resources&nbsp; </li>
  </ul>
  <li> 5.12.3: Graphs Representing Exponential Decay </li>
  <ul>
    <li> In this activity, you explored how the parameter \(b\) influences the graph of an exponential function, which prepared you to make sense of and model situations involving repeated percentage. </li>
    <li>5.12.3: Self Check</li>
    <li> 5.12.3: Additional Resources&nbsp; </li>
  </ul>
  <li> 5.12.4: Possible Equation for a Function on a Graph </li>
  <ul>
    <li> In this activity, you determined the graphed equation that defined a given function. </li>
  </ul>
</ul>
<p>After these activities, you completed the following <strong>practice</strong>:</p>
<ul>
  <li> 5.12.5: Practice </li>
</ul>
<h4>Checking In</h4>
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      <p>On a scale of 1 to 5, how confident do you feel about the learning goals of this lesson? </p>
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      <p>Correct!</p>
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      <p>Nice reflection! You learn more when you take the time to reflect on your thinking.</p>
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