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<title>
11.1 - Using contour maps
</title>
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<h2>
11.1 - Using contour maps
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<p>Consider the following contour map of a continuous function
$f(x,y)$.<br>
<img src="0g/11.1.hill.jpg"><br>
<ol type="1">
<li>For approximately what values of $y$ is it true that
$10 \leq f(5,y) \leq 30$?

<li>What do you estimate $f(2,4)$ to be, and why?

<li>What do you estimate for $f(6,6)$? Explain.

<li>How many values of $y$ satisfy $f(7,y)=20$? (Hint: Draw a line that includes all the points having coordinates $(7,y)$ where $y$ could be any real number.)


<li>How many values of $x$ satisfy $f(x,8)=20$?

</ol>

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