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Precalculus EL accessibility #915

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3a018f3
Convert appendix to prefigure
siwelwerd Jan 15, 2026
b8cdc18
Bump PreTeXt version
siwelwerd Jan 15, 2026
7ddbe2e
Change ln to log
siwelwerd Jan 15, 2026
932f24a
Use log instead of ln
siwelwerd Jan 15, 2026
11382bb
Bump prefigure version
siwelwerd Jan 15, 2026
ede54ba
Update requirements.txt
siwelwerd Jan 16, 2026
fea432d
Tweak requirements
siwelwerd Jan 16, 2026
9da1cb8
Fix extra
siwelwerd Jan 16, 2026
24e42ae
Merge
siwelwerd Jan 16, 2026
a1d6653
EL2 graphs
siwelwerd Jan 16, 2026
35c0a30
EL4 graphs
siwelwerd Jan 16, 2026
9cb7469
Missing minus sign
siwelwerd Jan 16, 2026
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2 changes: 1 addition & 1 deletion requirements.txt
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Original file line number Diff line number Diff line change
@@ -1,4 +1,4 @@
pretext == 2.24.0
pretext[prefigure] == 2.36.0
CodeChat-Server == 0.2.25
pelican == 4.11.0
markdown == 3.7.0
Expand Down
236 changes: 87 additions & 149 deletions source/precalculus/source/05-EL/02.ptx
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Original file line number Diff line number Diff line change
Expand Up @@ -76,11 +76,9 @@
</tabular>

<image>
<sageplot>
p=point([(-2,.25),(-1,.5),(0,1),(1,2),(2,4)],pointsize=50,color='blue',ymin=-2, ymax=8, xmin=-8,xmax=8, gridlines=[[-8,-7,..,8],[-8,-7,..,8]])
p
</sageplot>

<prefigure xmlns="https://prefigure.org" label="prefigure-graph-2x-points">
<xi:include href="prefigure/EL2-graph-2x-points.xml"/>
</prefigure>
</image>

</sidebyside>
Expand Down Expand Up @@ -137,14 +135,10 @@
<answer>
<p>
<image>
<sageplot>
f(x) = 2^x
p=point([(-2,.25),(-1,.5),(0,1),(1,2),(2,4)],pointsize=50,color='blue')
p+=plot(f, (x, -9, 8), ymin=-2, ymax=8, color='blue', thickness=3, gridlines=[[-8,-7,..,8],[-8,-7,..,8]])
p
</sageplot>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-2x">
<xi:include href="prefigure/EL2-graph-2x.xml"/>
</prefigure>
</image>

</p>
</answer>
</task>
Expand Down Expand Up @@ -301,13 +295,10 @@
<cell><m>\dfrac{1}{4}</m></cell>
</row>
</tabular>

<image>
<sageplot>
p=point([(-2,4),(-1,2),(0,1),(1,.5),(2,.25)],pointsize=50,color='blue',ymin=-2, ymax=8, xmin=-8,xmax=8, gridlines=[[-8,-7,..,8],[-8,-7,..,8]])
p
</sageplot>

<prefigure xmlns="https://prefigure.org" label="prefigure-graph-halfx-points">
<xi:include href="prefigure/EL2-graph-halfx-points.xml"/>
</prefigure>
</image>

</sidebyside>
Expand Down Expand Up @@ -364,13 +355,9 @@
<answer>
<p>
<image>
<sageplot>
f(x) = (.5)^x
p=point([(-2,4),(-1,2),(0,1),(1,.5),(2,.25)],pointsize=50,color='blue')
p+=line([(-9,0),(9,0)], linestyle="--", color='red',xmin=-8, xmax=8, ymin=-8, ymax=8, thickness=3)
p+=plot(f, (x, -9, 8), ymin=-2, ymax=8, color='blue', thickness=3, gridlines=[[-8,-7,..,8],[-8,-7,..,8]])
p
</sageplot>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-halfx">
<xi:include href="prefigure/EL2-graph-halfx.xml"/>
</prefigure>
</image>

</p>
Expand Down Expand Up @@ -552,12 +539,10 @@
</tabular>

<image>
<sageplot>
p=point([(-2,4),(-1,2),(0,1),(1,.5),(2,.25)],pointsize=50,color='blue',ymin=-2, ymax=8, xmin=-8,xmax=8, gridlines=[[-8,-7,..,8],[-8,-7,..,8]])
p
</sageplot>

</image>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-halfx-points2">
<xi:include href="prefigure/EL2-graph-halfx-points.xml"/>
</prefigure>
</image>

</sidebyside>

Expand Down Expand Up @@ -627,16 +612,12 @@
</p>
</statement>
<answer>
<p>
<image>
<sageplot>
f(x) = (4)^x
p=point([(-2,1/8),(-1,1/4),(0,1),(1,4),(2,16)],pointsize=50,color='blue')
p+=line([(-9,0),(9,0)], linestyle="--", color='red',xmin=-8, xmax=8, ymin=-8, ymax=8, thickness=3)
p+=plot(f, (x, -9, 8), ymin=-2, ymax=20, color='blue', thickness=3, gridlines=[[-8,-7,..,8],[-8,-7,..,20]])
p
</sageplot>
</image>
<p>
<image>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-4x-2">
<xi:include href="prefigure/EL2-graph-4x.xml"/>
</prefigure>
</image>
</p>
</answer>
</task>
Expand All @@ -653,47 +634,37 @@
</ul>

<ol marker= "A." cols="2">
<li> <p> <image>
<sageplot>
f(x) = (4)^x +1
p=point([(-2,9/8),(-1,5/4),(0,2),(1,5),(2,17)],pointsize=50,color='blue')
p+=line([(-9,1),(9,1)], linestyle="--", color='red',xmin=-8, xmax=8, ymin=-8, ymax=8, thickness=3)
p+=plot(f, (x, -9, 8), ymin=-2, ymax=20, color='blue', thickness=3, gridlines=[[-8,-7,..,8],[-8,-7,..,20]])
p
</sageplot>
</image> </p> </li>

<li> <p> <image>
<sageplot>
f(x) = (4)^(-x)
p=point([(2,1/8),(1,1/4),(0,1),(-1,4),(-2,16)],pointsize=50,color='blue')
p+=line([(-9,0),(9,0)], linestyle="--", color='red',xmin=-8, xmax=8, ymin=-8, ymax=8, thickness=3)
p+=plot(f, (x, -9, 8), ymin=-2, ymax=20, color='blue', thickness=3, gridlines=[[-8,-7,..,8],[-8,-7,..,20]])
p
</sageplot>
</image> </p> </li>

<li> <p> <image>
<sageplot>
f(x) = (4)^(x+1)
p=point([(-3,1/8),(-2,1/4),(-1,1),(0,4),(1,16)],pointsize=50,color='blue')
p+=line([(-9,0),(9,0)], linestyle="--", color='red',xmin=-8, xmax=8, ymin=-8, ymax=8, thickness=3)
p+=plot(f, (x, -9, 8), ymin=-2, ymax=20, color='blue', thickness=3, gridlines=[[-8,-7,..,8],[-8,-7,..,20]])
p
</sageplot>
</image> </p> </li>

<li> <p> <image>
<sageplot>
f(x) = -4^(x)
p=point([(-2,-1/8),(-1,-1/4),(0,-1),(1,-4),(2,-16)],pointsize=50,color='blue')
p+=line([(-9,0),(9,0)], linestyle="--", color='red',xmin=-8, xmax=8, ymin=-8, ymax=8, thickness=3)
p+=plot(f, (x, -9, 8), ymin=-20, ymax=2, color='blue', thickness=3, gridlines=[[-8,-7,..,8],[-20,-19,..,2]])
p
</sageplot>
</image> </p> </li>


<li> <p>
<image>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-4x-plus-one">
<xi:include href="prefigure/EL2-graph-4x-plus-one.xml"/>
</prefigure>
</image>
</p> </li>

<li> <p>
<image>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-4-minus-x">
<xi:include href="prefigure/EL2-graph-4-minus-x.xml"/>
</prefigure>
</image>
</p> </li>

<li> <p>
<image>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-4-x-plus-one">
<xi:include href="prefigure/EL2-graph-4-x-plus-one.xml"/>
</prefigure>
</image>
</p> </li>

<li> <p>
<image>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-minus-4x">
<xi:include href="prefigure/EL2-graph-minus-4x.xml"/>
</prefigure>
</image>
</p> </li>
</ol>
</p>
</statement>
Expand Down Expand Up @@ -834,13 +805,9 @@
</statement>
<answer>
<image>
<sageplot>
f(x) = e^(x)
p=point([(0,1),(1,e)],pointsize=50,color='blue')
p+=line([(-9,0),(9,0)], linestyle="--", color='red',xmin=-8, xmax=8, ymin=-8, ymax=8, thickness=3)
p+=plot(f, (x, -9, 8), ymin=-2, ymax=8, color='blue', thickness=3, gridlines=[[-8,-7,..,8],[-8,-7,..,8]])
p
</sageplot>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-ex">
<xi:include href="prefigure/EL2-graph-ex.xml"/>
</prefigure>
</image>
<p>
<ul>
Expand All @@ -862,14 +829,12 @@
<answer>

<image>
<sageplot>
f(x) = e^(x-2)
p=point([(2,1),(3,e)],pointsize=50,color='blue')
p+=line([(-9,0),(9,0)], linestyle="--", color='red',xmin=-8, xmax=8, ymin=-8, ymax=8, thickness=3)
p+=plot(f, (x, -9, 8), ymin=-2, ymax=8, color='blue', thickness=3, gridlines=[[-8,-7,..,8],[-8,-7,..,8]])
p
</sageplot>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-ex-minus2">
<xi:include href="prefigure/EL2-graph-ex-minus2.xml"/>
</prefigure>
</image>



<p>
<ul>
Expand All @@ -891,13 +856,9 @@
</statement>
<answer>
<image>
<sageplot>
f(x) = -1*3*e^x
p=point([(0,f(x=0)),(1,f(x=1))],pointsize=50,color='blue')
p+=line([(-9,0),(9,0)], linestyle="--", color='red',xmin=-8, xmax=8, ymin=-8, ymax=8, thickness=3)
p+=plot(f, (x, -9, 8), ymin=-10, ymax=2, color='blue', thickness=3, gridlines=[[-8,-7,..,8],[-10,-9,..,2]])
p
</sageplot>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-minus3-ex">
<xi:include href="prefigure/EL2-graph-minus3-ex.xml"/>
</prefigure>
</image>
<p>
<ul>
Expand All @@ -919,15 +880,10 @@
<answer>

<image>
<sageplot>
f(x) = e^(-x)-4
p=point([(0,f(x=0)),(-1,f(x=-1))],pointsize=50,color='blue')
p+=line([(-9,-4),(9,-4)], linestyle="--", color='red',xmin=-8, xmax=8, ymin=-8, ymax=8, thickness=3)
p+=plot(f, (x, -9, 8), ymin=-6, ymax=8, color='blue', thickness=3, gridlines=[[-8,-7,..,8],[-8,-7,..,8]])
p
</sageplot>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-eminusx-minus4">
<xi:include href="prefigure/EL2-graph-e-minusx-minus4.xml"/>
</prefigure>
</image>

<p>
<ul>
<li> <p>Transformations: reflection over <m>y</m>-axis, shift down 4 </p> </li>
Expand Down Expand Up @@ -957,16 +913,11 @@
</statement>
<answer>

<image>
<sageplot>
f(x) = (3)^x
p=point([(0,1),(1,3)],pointsize=50,color='blue')
p+=line([(-9,0),(9,0)], linestyle="--", color='red',xmin=-8, xmax=8, ymin=-8, ymax=8, thickness=3)
p+=plot(f, (x, -9, 8), ymin=-2, ymax=8, color='blue', thickness=3, gridlines=[[-8,-7,..,8],[-8,-7,..,8]])
p
</sageplot>
</image>

<image>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-3x">
<xi:include href="prefigure/EL2-graph-3x.xml"/>
</prefigure>
</image>
<p>
<ul>
<li> <p>Exponential growth </p> </li>
Expand All @@ -987,15 +938,11 @@
</statement>
<answer>

<image>
<sageplot>
f(x) = (6)^(-x)
p=point([(0,1),(-1,6)],pointsize=50,color='blue')
p+=line([(-9,0),(9,0)], linestyle="--", color='red',xmin=-8, xmax=8, ymin=-8, ymax=8, thickness=3)
p+=plot(f, (x, -9, 8), ymin=-2, ymax=8, color='blue', thickness=3, gridlines=[[-8,-7,..,8],[-8,-7,..,8]])
p
</sageplot>
</image>
<image>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-6-minusx">
<xi:include href="prefigure/EL2-graph-6-minusx.xml"/>
</prefigure>
</image>

<p>
<ul>
Expand All @@ -1016,15 +963,11 @@
</statement>
<answer>

<image>
<sageplot>
f(x) = (1/5)^(x-2)
p=point([(1,5),(2,1)],pointsize=50,color='blue')
p+=line([(-9,0),(9,0)], linestyle="--", color='red',xmin=-8, xmax=8, ymin=-8, ymax=8, thickness=3)
p+=plot(f, (x, -9, 8), ymin=-2, ymax=8, color='blue', thickness=3, gridlines=[[-8,-7,..,8],[-8,-7,..,8]])
p
</sageplot>
</image>
<image>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-one-fifth-x-minus2 ">
<xi:include href="prefigure/EL2-graph-one-fifth-x-minus2.xml"/>
</prefigure>
</image>

<p>
<ul>
Expand All @@ -1045,16 +988,11 @@
</statement>
<answer>

<image>
<sageplot>
f(x) = (1/3)^(x)+4
p=point([(0,5),(-1,7)],pointsize=50,color='blue')
p+=line([(-9,4),(9,4)], linestyle="--", color='red',xmin=-8, xmax=8, ymin=-8, ymax=12, thickness=2)
p+=plot(f, (x, -9, 8), ymin=-2, ymax=12, color='blue', thickness=3, gridlines=[[-8,-7,..,8],[-8,-7,..,12]])
p
</sageplot>
</image>

<image>
<prefigure xmlns="https://prefigure.org" label="prefigure-graph-one-third-x-plus4">
<xi:include href="prefigure/EL2-graph-one-third-x-plus4.xml"/>
</prefigure>
</image>
<p>
<ul>
<li> <p>Exponential decay </p> </li>
Expand Down
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