Maths-
General
Easy
Question
Asthon said the graph of
has a horizontal asymptote at
. Describe and correct Asthon's error.
Hint:
A rational function is a function that is the ratio of polynomials. Any function of one variable, x, is called a rational function if, it can be represented as f(x) =
, where p(x) and q(x) are polynomials such that q(x) ≠ 0.
Rational functions are of the form y=f(x)y=fx , where f(x)fx is a rational expression .
- If both the polynomials have the same degree, divide the coefficients of the leading terms. This is your asymptote.
- If the degree of the numerator is less than the denominator, then the asymptote is located at y = 0 (which is the x-axis).
- If the degree of the numerator is greater than the denominator, then there is no horizontal asymptote.
The correct answer is: The vertical asymptote of the rational function is x= 2.24 and x= -2.24 . We will find more points on the function and graph the function.
- Find the asymptotes of the rational function, if any.
- Draw the asymptotes as dotted lines.
- Find the x -intercept (s) and y -intercept of the rational function, if any.
- Find the values of y for several different values of x .
- Plot the points and draw a smooth curve to connect the points. Make sure that the graph does not cross the vertical asymptotes.
The vertical asymptote of a rational function is x -value where the denominator of the function is zero. Equate the denominator to zero and find the value of x .
2x2 + 4x - 6= 0
x2 + 2x - 3= 0
x2 + 3x - x - 3 = 0
x(x + 3) - (x - 3) = 0
(x - 1) (x + 3) = 0
x = -3 or x =
= 1
The vertical asymptote of the rational function is x= 2.24 and x= -2.24 .
We will find more points on the function and graph the function.
![](data:image/png;base64,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)
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)
the degree of the numerator is less than the denominator, then the horizontal asymptote is located at y = 0 (which is the x-axis).
Related Questions to study
Maths-
Write an equation of a line that passes through the given line and is parallel to the given line.
![left parenthesis negative 3 comma 2 right parenthesis semicolon space y equals negative 4](data:image/png;base64,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)
Write an equation of a line that passes through the given line and is parallel to the given line.
![left parenthesis negative 3 comma 2 right parenthesis semicolon space y equals negative 4](data:image/png;base64,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)
Maths-General
Maths-
Write recursive formula and find the first term. ![a subscript n equals 7 plus 1 fourth n](data:image/png;base64,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)
Write recursive formula and find the first term. ![a subscript n equals 7 plus 1 fourth n](data:image/png;base64,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)
Maths-General
Maths-
How can you graph a rational function ?
How can you graph a rational function ?
Maths-General
Maths-
Write an equation of a line that passes through the given line and is parallel to the given line.
![left parenthesis 2 comma 7 right parenthesis semicolon space 3 x minus y equals 5](data:image/png;base64,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)
Write an equation of a line that passes through the given line and is parallel to the given line.
![left parenthesis 2 comma 7 right parenthesis semicolon space 3 x minus y equals 5](data:image/png;base64,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)
Maths-General
Maths-
Write recursive formula and find the first term. ![a subscript n equals 7 over 2 minus 3 n](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFsAAAAjCAYAAAD7R3Y1AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAklJREFUeNrtmrFLQlEUxi8iIdIiEQ4NgjREQ7iJSIRLQzRE4CANEUE4RUPQEBLRPxBt0RAREUhEhERLRERDEBFN0dLUIIGDhEgEdi5+wfN2H1q9+5Tn+cE3eL1P8fO+75x7VYjOp9ZEjAukSTtsg3nCpGtSgK0wzykpxjaYJ0vKsQ3miZBuSX62wjxXpBTb4E73ccY2mMdHeuKi6A5TiBDGBQ5Jc2yDOxRJoTa8bwp1okKqkp5Jm6Q+/kqc55I0TeqxjMm6cc7WuEfZiYq/jlv2g/SATQTTSBSdkcoaaVnUz212ET0l0qLuRQqkLWSjND6PLuCv1IS3jkfDKNIytyc0z+dhrDR6DB4OIOuD1okZTLayZ/Oi3Ya6QJZs5skvYUEzXlILqiwECc3WONIhH7D2zzvFibsshDv9FitXjeB3zTV+xEkDFVzQ7OJujpFvemG4lTgWrEpCN/6mPE6S7jlBbKkqjzPIatHK+Kto/NVDnhcfsadaRpDPVmRjMa+Zqx3fIG0jPmROHwj7EzbZ9kyS7tAirnjYWFm30sheH3aUL6RZZd6xTTNhNy5W0ZHksMqLmtZPvuEnaR9tTQzV1quMoiWuQpdYaLqOI/CL8R/0a8biWNHWbL8w/IGTiLSyZbM10w15lUH/3awwOH0rZ9AFSIZJNxjzNDLwsy0UBtPIuvLodbPVwD9p4y6z6nWz1cBvuQA4TAJRwhgmgB1ckq0wSwjRNc5WmCUKowfZCrMMifo/VoNshVnC2NnyX85coICVzbiAZ87DvwCcEaQsy528DAAAALJ0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXN1Yj48bWk+YTwvbWk+PG1pPm48L21pPjwvbXN1Yj48bW8+PTwvbW8+PG1mcmFjPjxtbj43PC9tbj48bW4+MjwvbW4+PC9tZnJhYz48bW8+JiN4MjIxMjs8L21vPjxtbj4zPC9tbj48bWk+bjwvbWk+PC9tYXRoPptAQKYAAAAASUVORK5CYII=)
Write recursive formula and find the first term. ![a subscript n equals 7 over 2 minus 3 n](data:image/png;base64,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)
Maths-General
Maths-
Write an equation of a line that passes through the given line and is parallel to the given line.
![left parenthesis 5 comma negative 4 right parenthesis semicolon space y equals 1 fifth x minus 4](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAI8AAAAjCAYAAACtvVkGAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAr5JREFUeNrtmsFLG0EUxheRIKU3EQ89FKQUDyUExEMp4kUklBJEkOJBShGkSCjBu3gQIfSQk5cePEgogSIeShFBeigiIpRSQilF8F/w0INIEPRNfIFlnd3MZpN9M/X7wQdJ3MSXN9/MvNkXzwNSPCWtkn4hFSAuVdIS6RqpAJ0C8wCYB8A8AOYBMA8AMA+AeSJYJpUdirfMMcM8wmRJxw7GfcSxwzzCg5ALfKkwSfAq5H+PkQ4dNY0NeU2a/6ZpjiyeEQ9JfyJiOmQTAYH8fyAVLTbPR9JiREzvHavVXCMy//ukCUvN84L0rU1Mz33XmLJFeq15vUTasHQQF0MmyTr/TST//0gZC82jYqqTHreJKcPfoUWNr52J+Ow3vOL6eUA6JQ0a1igSNctP0rDv+VvSpmT+r0KS1eBB2SOt8N6X9lG8aGjoRkzzvCR9Dry25t3+xsZm8qQKP57qYMXtev6vIj6gn4tRldS/pNEunCpMZmw2ZhHfiBmXWl1++54Pkc5IAymdrJKsZAekSe/2h2SD0vnXbVs6pknfU5phJ6QnhuYJblumXPgeV7je6fYg9IIST5asDfk/4MLIhEvB+yBhA9VJwdw64o+w1KrT58DJR43TDpt93ob8647qOp5xkqUIm91FTfFrwjapQPpEWnDAOMrkX7iwV/XnD4Ntq+f5190k3OUZ3cfKs3FmA9eZFKe9Nk/wJqFpTCU+stcdMM4QH1z8ZlF3fasWTN5mX8u/h87xsVUV0+d8MhnXvE/aPLr2hGlMM3xdwXLjZHgyPwrJf17aPEkaozU++koQ1hg1iangpd8Mtq1n2DXeefFv8+f4yNsvEK+qc5YSxLTHW7MNddu9RC2lww7GpIr/rxYV/QDAPADmAZaaR7pnCBwnac8QgCZp9gzBf8glUgA6QbpnCBzBtGcIwB1Me4bWcwMBSf33Vh+TIQAAAPd0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+KDwvbW8+PG1uPjU8L21uPjxtbz4sPC9tbz48bW8+JiN4MjIxMjs8L21vPjxtbj40PC9tbj48bW8+KTwvbW8+PG1vPjs8L21vPjxtbz4mI3hBMDs8L21vPjxtaT55PC9taT48bW8+PTwvbW8+PG1mcmFjPjxtbj4xPC9tbj48bW4+NTwvbW4+PC9tZnJhYz48bWk+eDwvbWk+PG1vPiYjeDIyMTI7PC9tbz48bW4+NDwvbW4+PC9tYXRoPpLSTD4AAAAASUVORK5CYII=)
Write an equation of a line that passes through the given line and is parallel to the given line.
![left parenthesis 5 comma negative 4 right parenthesis semicolon space y equals 1 fifth x minus 4](data:image/png;base64,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)
Maths-General
Maths-
Write recursive formula and find the first term. ![a subscript n equals 35 plus 52 n](data:image/png;base64,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)
Write recursive formula and find the first term. ![a subscript n equals 35 plus 52 n](data:image/png;base64,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)
Maths-General
Maths-
Write recursive formula and find the first term. ![a subscript n equals 12 n minus 29](data:image/png;base64,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)
Write recursive formula and find the first term. ![a subscript n equals 12 n minus 29](data:image/png;base64,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)
Maths-General
Maths-
Identify the asymptotes and sketch the graph of ![straight g left parenthesis straight x right parenthesis equals fraction numerator straight x squared minus 5 straight x plus 6 over denominator 2 straight x squared minus 10 end fraction](data:image/png;base64,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)
Identify the asymptotes and sketch the graph of ![straight g left parenthesis straight x right parenthesis equals fraction numerator straight x squared minus 5 straight x plus 6 over denominator 2 straight x squared minus 10 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIkAAAAqCAYAAACHrHiJAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAbSkFbcgAABBlJREFUeNrtXEFkHFEYfiJiVZSoiuihREVERYioFVWlIqJ6CFURVVGiKqp6rRx6ixwqeihRlUP0ElUVEaGqIqJCVOVUJcccovSwKlaE7f/LNzJm32zem523+2b3//joTieZf+f98/7vfW/+KNW8KIHHxG3iNSUQxKCF+JT4Q26F4DwU5RYIKuEWcVNugyAOXdAk3Q51j471xhBxhVjALLqKh0UQQQ9xDYniShz7iGkkRQ8+XyROErckJcpnkHXcINUASWJ6rT7ibjMPfI74nXglcvwybkwudIwTpNeDgbOJOY0kWSRONPsMcR0JEAaXlBEDvVCvp9s05jSu9cthec0UZtSp98F4RFyuUxyBWVdAErwgtjuK2TRJitAin4hHiG8XmqTpsAK1vk+85HCVYjILtRIHibN4kntTiDlpTHycjcMxxMVm4jDxdyhJmwY38ZRMexYXl5BNBzGbziQFjf5hDBAPmilBWrCcm0Rt9w1FBzGbJsk6rqXDcZpfkqelOYvz52o8lb0iTuHfD4kLngnrfQcxlyzG7oHmOJfAnbS+ZD+WbLbYxs+6RuAkhvEaN77WYHGYx5PLHEWCjDuI2TRJ2lDuHkOTMG4Q94h30vri26hfthhU7h099hS+EDtiptl8jZPkPgThCfEvEmHIg5jZg3lH/IfYNqGHUsEAkiQptpAsggbGPNbzSfHMUssIPEMepkoRdXNKU+c2ItOSraXM1/gqtzqb6EViBAnA2+YfNElSgPCJqnVTS7kNvyNOeFVjWAkcY0npDZzowJzE/LyNpXwstzub+BOjrk2TRClzS9lFkpSETmi0xjYpNwFMLGUpNxnGkdJbtdGB4fX8sOY8U0tZhGuGsaExbTo0SRK3BDa1lGfwOwQZxBhmgk51Zh/vqPKNKJ2ZZmMpi5mWcbCXfwBdsYPB1+kH9kX6Qz6JqaVcC1u+XmjabsDOGP3g+wZfPdHw3YCr6mzzqQufp2LOfaLs7PV55d/LPy7RsN2AvGO5p85s+edSgRNBugEbBLyM/wjNxTrip0rnRWCX3YAB+CXmWcQcB+4legttyVxUbvuLGhL8pHPvSfDmeh8Gd6LKwXPZDRhgGaW7krnIWvJe6PNdJf5UKriKcpt0Blmv8dNaqiAb3miOLyhpykpdcPrWDWiaJFxGdTvwt/F/giqQV+VGoU/dgKZJwq9J6vbX+NihDHNy5CDwdPtSvnQDmiZJpZ16eU0jIdgt/qwq99361A1YTZLIX3NKgG4kyHk2uo/dgHFJchhTbnJSbuzBQpPbCi6cc56v3YCVhOuo5viICFc7dKKEtBqc62s3YFySjCP5o1iSJbAd1gyXrD51A5omCeObOt1WaUXpealkqyBV8Riu4T51A9ostznm9xCq/NYh2/LtSS/4H8/soJo2lIjNAAABpHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj5nPC9taT48bW8+KDwvbW8+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPng8L21pPjxtbz4pPC9tbz48bW8+PTwvbW8+PG1mcmFjPjxtcm93Pjxtc3VwPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj54PC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjU8L21uPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj54PC9taT48bW8+KzwvbW8+PG1uPjY8L21uPjwvbXJvdz48bXJvdz48bW4+MjwvbW4+PG1zdXA+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPng8L21pPjxtbj4yPC9tbj48L21zdXA+PG1vPiYjeDIyMTI7PC9tbz48bW4+MTA8L21uPjwvbXJvdz48L21mcmFjPjwvbWF0aD4U0MQmAAAAAElFTkSuQmCC)
Maths-General
Maths-
Write recursive formula and find the first term. ![a subscript n equals 108 minus n](data:image/png;base64,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)
Write recursive formula and find the first term. ![a subscript n equals 108 minus n](data:image/png;base64,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)
Maths-General
Maths-
Are graphs of the equations parallel, perpendicular or neither?
![y equals 4 x plus 1 space straight & space y equals negative 4 x minus 2](data:image/png;base64,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)
Are graphs of the equations parallel, perpendicular or neither?
![y equals 4 x plus 1 space straight & space y equals negative 4 x minus 2](data:image/png;base64,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)
Maths-General
Maths-
Write recursive formula and find the first term. ![a subscript n equals 10 plus 8 n](data:image/png;base64,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)
Write recursive formula and find the first term. ![a subscript n equals 10 plus 8 n](data:image/png;base64,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)
Maths-General
Maths-
Are graphs of the equations parallel, perpendicular or neither?
![x minus 3 y equals 6 space straight & space x minus 3 y equals 9](data:image/png;base64,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)
Are graphs of the equations parallel, perpendicular or neither?
![x minus 3 y equals 6 space straight & space x minus 3 y equals 9](data:image/png;base64,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)
Maths-General
Maths-
What is the graph of ![f left parenthesis x right parenthesis equals fraction numerator 4 x squared minus 9 over denominator x squared plus 2 x minus 15 end fraction](data:image/png;base64,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)
What is the graph of ![f left parenthesis x right parenthesis equals fraction numerator 4 x squared minus 9 over denominator x squared plus 2 x minus 15 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Find the equation for a path that passes through the point (-4, 9) and is parallel to
.
Find the equation for a path that passes through the point (-4, 9) and is parallel to
.
Maths-General