c95d001e-3f53-479a-aeb1-68493f8a4b2b.html

<p>In this lesson, you will investigate the relationship between the parameters \(a\) and \(b\) in the expression \(a
  \cdot b^x\) and a graph representing the function \(f\)&nbsp;given by \(f(x)=a \cdot b^x\). You will start by
  identifying a function represented by a given graph and using the graph to make sense of a situation. You will also
  examine two abstract graphs, with unlabeled axes, and decide which one represents a given situation. In both cases,
  you will use your understanding of the connections between the parameters in an exponential expression and the
  features of an exponential graph to answer questions.</p>
<p>When you finish this lesson, you will be able to:</p>
<ul>
  <li> Explain the meaning of the intersection of the graphs of two functions in terms of the situations they represent.
  </li>
  <li> Write an equation for the function given two points on a graph of an exponential function. </li>
</ul>
<p>Here are the<strong> activities </strong>that will help you reach those goals:</p>
<ul>
  <li> 5.13.1: Comparing Functions </li>
  <li> 5.13.2: Creating Exponential Functions from Graphs
    <ul>
      <li>5.13.2: Self Check </li>
    </ul>
    <ul>
      <li>5.13.2: Additional Resources</li>
    </ul>
  </li>
  <li> 5.13.3: Comparing Exponential Functions <br>
    <ul>
      <li> 5.13.3: Self Check </li>
    </ul>
    <ul>
      <li> 5.13.3: Additional Resources </li>
    </ul>
  </li>
  <li> 5.13.4: Interpreting Features of an Exponential Graph </li>
</ul>
<p>After that, you&rsquo;ll <strong>practice and review</strong>.</p>
<ul>
  <li> 5.13.5: Practice </li>
  <li> 5.13.6: Lesson Summary </li>
</ul>