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2 changes: 1 addition & 1 deletion .devcontainer/devcontainer.json
Original file line number Diff line number Diff line change
Expand Up @@ -13,7 +13,7 @@
//
///////////////////////////////////////////////////////////////
{
"image": "oscarlevin/pretext:latest",
"image": "oscarlevin/pretext:1.1",
"features": {},

// Comment or uncomment lines below if you don't or do need that feature.
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12 changes: 6 additions & 6 deletions source/proteus/proteus-1-2.xml
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Expand Up @@ -17,7 +17,7 @@
<title>PROTEUS exercises</title>

<p>
As noted in <xref ref="PA-1-2" text="type-global"/>, we are interested in studying the behavior of the output of a function as the input value gets closer and closer to a specified chosen number. One way to visualize this process is to think about a tiny bug walking along the graph of a function, as pictured here:
As noted in <xref ref="PA-1-2" text="type-global"/>, we are interested in studying the behavior of the output of a function as the input value gets closer and closer to a specified chosen number. One way to visualize this process is to think about a tiny ant walking along the graph of a function, as pictured here:
</p>
<figure xml:id="Fig-PA-1-2-und-limits">
<caption>Piecewise graph with point. <m>T(s)</m>.</caption>
Expand All @@ -35,7 +35,7 @@
<graph function="k" domain="(2,5)"/>
<definition>f(x) = chi_oc(-5,-1,x)*g(x) + chi_co(-1,5,x)*h(x) </definition>
<point p="(a,f(a))" alignment="nw" clear-background="yes">
BUG
ANT
</point>
<point p="(2,f(2))" fill="white"/>
<point p="(-1,f(-1))" fill="blue" />
Expand All @@ -53,11 +53,11 @@
<exercise component="proteus" label="proteus-und-limits-1" xml:id="proteus-und-limits-1" attachment="yes">
<statement>
<p>
Focusing on the bug, the <m>x</m>-value that the bug is directly above is the input value to the function, and the <m>y</m>-value at the bug's height (directly across from the bug) is the corresponding output value of the function. In the figure here, the bug's position corresponds approximately to the point <m>(1.6, f(1.6)) = (1.6, 2.6).</m>
Focusing on the ant, the <m>x</m>-value that the ant is directly above is the input value to the function, and the <m>y</m>-value at the ant's height (directly across from the ant) is the corresponding output value of the function. In the figure here, the ant's position corresponds approximately to the point <m>(1.6, f(1.6)) = (1.6, 2.6).</m>
</p>

<p>
If the bug is at the point on the graph directly above <m>x=3</m> what is the bug's height? In other words, what is the corresponding <m>y</m>-value, <m>y = f(3)</m>?
If the ant is at the point on the graph directly above <m>x=3</m> what is the ant's height? In other words, what is the corresponding <m>y</m>-value, <m>y = f(3)</m>?
</p>
</statement>
<response />
Expand All @@ -66,7 +66,7 @@
<exercise component="proteus" label="proteus-und-limits-2" xml:id="proteus-und-limits-2" attachment="yes">
<statement>
<p>
If the bug walks along the curve in such a way that it gets closer and closer to the location where <m> x = 2 </m>, what happens to the <m>y</m>-value that corresponds to the bug's height? Does it matter if the bug approaches the location where <m> x = 2 </m> from either the left side or the right side of <m> x = 2 </m>? Discuss what you see on the graph near the point where <m>x = 2</m>.
If the ant walks along the curve in such a way that it gets closer and closer to the location where <m> x = 2 </m>, what happens to the <m>y</m>-value that corresponds to the ant's height? Does it matter if the ant approaches the location where <m> x = 2 </m> from either the left side or the right side of <m> x = 2 </m>? Discuss what you see on the graph near the point where <m>x = 2</m>.
</p>

</statement>
Expand All @@ -76,7 +76,7 @@
<exercise component="proteus" label="proteus-und-limits-3" xml:id="proteus-und-limits-3" attachment="yes">
<statement>
<p>
Finally, what happens if the bug walks in such a way that the corresponding <m>x</m>-value gets closer and closer to <m>x = -1</m>? What do you notice about the corresponding output values of the function near the point where <m>x = -1</m>?
Finally, what happens if the ant walks in such a way that the corresponding <m>x</m>-value gets closer and closer to <m>x = -1</m>? What do you notice about the corresponding output values of the function near the point where <m>x = -1</m>?
</p>
</statement>
<response />
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