use quarto, not Pluto to render pages
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@@ -260,7 +260,7 @@ saying it follows the shape of the leading term of $q(x)$, at the
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expense of the work required to find $q(x)$.
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##### Examples
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### Examples
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Consider the rational expression
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@@ -853,8 +853,8 @@ The rational expression $(x^3 - 2x + 3) / (x^2 - x + 1)$ would have
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choices = [L"A horizontal asymptote $y=0$",
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L"A horizontal asymptote $y=1$",
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L"A slant asymptote with slope $m=1$"]
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ans = 3
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radioq(choices, ans)
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answ = 3
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radioq(choices, answ)
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```
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###### Question
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@@ -866,8 +866,8 @@ The rational expression $(x^2 - x + 1)/ (x^3 - 2x + 3)$ would have
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choices = [L"A horizontal asymptote $y=0$",
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L"A horizontal asymptote $y=1$",
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L"A slant asymptote with slope $m=1$"]
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ans = 1
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radioq(choices, ans)
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answ = 1
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radioq(choices, answ)
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```
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@@ -881,8 +881,8 @@ The rational expression $(x^2 - x + 1)/ (x^2 - 3x + 3)$ would have
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choices = [L"A horizontal asymptote $y=0$",
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L"A horizontal asymptote $y=1$",
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L"A slant asymptote with slope $m=1$"]
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ans = 2
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radioq(choices, ans)
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answ = 2
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radioq(choices, answ)
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```
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@@ -902,8 +902,8 @@ would have
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choices = [L"A horizontal asymptote $y=0$",
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L"A horizontal asymptote $y=1$",
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L"A slant asymptote with slope $m=1$"]
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ans = 2
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radioq(choices, ans)
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answ = 2
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radioq(choices, answ)
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```
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@@ -923,8 +923,8 @@ choices = [L"A vertical asymptote $x=1$",
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L"A slant asymptote with slope $m=1$",
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L"A vertical asymptote $x=5$"
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]
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ans = 3
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radioq(choices, ans)
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answ = 3
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radioq(choices, answ)
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```
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@@ -946,8 +946,8 @@ choices = [
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"``y = (1/3)x``",
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"``y = (1/3)x - (1/3)``"
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]
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ans = 3
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radioq(choices, ans)
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answ = 3
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radioq(choices, answ)
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```
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@@ -971,8 +971,8 @@ Is the following common conception true: "The graph of a function never crosses
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```julia; hold=true; echo=false
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choices = ["No, the graph clearly crosses the drawn asymptote",
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"Yes, this is true"]
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ans = 1
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radioq(choices, ans)
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answ = 1
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radioq(choices, answ)
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```
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(The wikipedia page indicates that the term "asymptote" was introduced
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@@ -1002,8 +1002,8 @@ choices = ["The horizontal asymptote is not a straight line.",
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L"The $y$-axis scale shows that indeed the $y$ values are getting close to $0$.",
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L"The graph is always decreasing, hence it will eventually reach $-\infty$."
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]
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ans = 2
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radioq(choices, ans)
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answ = 2
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radioq(choices, answ)
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```
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@@ -1040,8 +1040,8 @@ choices = ["between ``0`` and ``8`` hours",
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"between ``8`` and ``16`` hours",
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"between ``16`` and ``24`` hours",
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"after one day"]
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ans = 1
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radioq(choices, ans)
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answ = 1
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radioq(choices, answ)
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```
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This graph has
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@@ -1051,8 +1051,8 @@ choices = [L"a slant asymptote with slope $50$",
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L"a horizontal asymptote $y=20$",
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L"a horizontal asymptote $y=0$",
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L"a vertical asymptote with $x = 20^{1/3}$"]
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ans = 3
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radioq(choices, ans)
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answ = 3
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radioq(choices, answ)
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```
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@@ -1073,6 +1073,6 @@ L"The $\sin(x)$ oscillates, but the rational function eventually follows $7/60 \
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L"The $\sin(x)$ oscillates, but the rational function has a slant asymptote",
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L"The $\sin(x)$ oscillates, but the rational function has a non-zero horizontal asymptote",
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L"The $\sin(x)$ oscillates, but the rational function has a horizontal asymptote of $0$"]
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ans = 2
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radioq(choices, ans)
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answ = 2
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radioq(choices, answ)
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```
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