Maths-
General
Easy
Question
Graph each function ![f left parenthesis x right parenthesis equals fraction numerator 4 x minus 3 over denominator x plus 8 end fraction](data:image/png;base64,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)
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: From the graph we can analyze that the vertical asymptote of the rational function is x= -8 and horizontal asymptote is y = (leading coefficient of numerator) / (leading coefficient of denominator) = 4/1=4
1.Find the asymptotes of the rational function, if any.
2.Draw the asymptotes as dotted lines.
3.Find the x -intercept (s) and y -intercept of the rational function, if any.
4.Find the values of y for several different values of x .
5.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 .
x + 8= 0
x = -8
The vertical asymptote of the rational function is x=-8
We will find more points on the function and graph the function.
![](data:image/png;base64,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)
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)
From the graph we can analyze that the vertical asymptote of the rational function is x= -8 and horizontal asymptote is
y = (leading coefficient of numerator) / (leading coefficient of denominator) =
= 4
Related Questions to study
Maths-
What is the graph of the function![f left parenthesis x right parenthesis equals fraction numerator 2 x plus 1 over denominator 3 x minus 4 end fraction](data:image/png;base64,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)
What is the graph of the function![f left parenthesis x right parenthesis equals fraction numerator 2 x plus 1 over denominator 3 x minus 4 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Write recursive formula and explicit formula. -15,-6,-3,12,21,...
Write recursive formula and explicit formula. -15,-6,-3,12,21,...
Maths-General
Maths-
The equation 2x + 7 represents a north path on a map. Find the equation for a path that passes through the point (6, 3) and is perpendicular to the north path.
The equation 2x + 7 represents a north path on a map. Find the equation for a path that passes through the point (6, 3) and is perpendicular to the north path.
Maths-General
Maths-
Write recursive formula and explicit formula. 62,57,52,47,42,...
Write recursive formula and explicit formula. 62,57,52,47,42,...
Maths-General
Maths-
Write recursive formula and explicit formula. -4, 5,14,23,32,...
Write recursive formula and explicit formula. -4, 5,14,23,32,...
Maths-General
Maths-
What are the vertical and horizontal asymptotes of the graph of each function?
![fraction numerator x squared plus 5 x plus 4 over denominator 3 x squared minus 12 end fraction](data:image/png;base64,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)
What are the vertical and horizontal asymptotes of the graph of each function?
![fraction numerator x squared plus 5 x plus 4 over denominator 3 x squared minus 12 end fraction](data:image/png;base64,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)
Maths-General
Maths-
The equation 2x + 7 represents a north path on a map. Find the equation for a path that passes through the point (6, 3) and is parallel to the north path.
The equation 2x + 7 represents a north path on a map. Find the equation for a path that passes through the point (6, 3) and is parallel to the north path.
Maths-General
Maths-
Write recursive formula and explicit formula. 12,19,26,33,40,...
Write recursive formula and explicit formula. 12,19,26,33,40,...
Maths-General
Maths-
What are the vertical and horizontal asymptotes of the graph of each function?
![G left parenthesis x right parenthesis equals fraction numerator 2 x squared plus x minus 9 over denominator x squared minus 2 x minus 8 end fraction](data:image/png;base64,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)
What are the vertical and horizontal asymptotes of the graph of each function?
![G left parenthesis x right parenthesis equals fraction numerator 2 x squared plus x minus 9 over denominator x squared minus 2 x minus 8 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Are graphs of the equations parallel, perpendicular or neither?
![y equals negative 5 x space straight & space 25 x plus 5 y equals 1](data:image/png;base64,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)
Are graphs of the equations parallel, perpendicular or neither?
![y equals negative 5 x space straight & space 25 x plus 5 y equals 1](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALEAAAASCAYAAAAUoT+FAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAARqpSybAAAArpJREFUeNrtWU1kHVEYfZ6Iqm4qniyyKFFVERWii+qiSkREPFEiIiqidFlPNl1VRITq4i0quqkuqiJUVVRFqIiIiFBRTxZVqssuQhddRMQjPZ+ecD3zc2c68747eg9HZib3ju/nzL3f/V6pVDycRTBr9ICb4Cn4BRywmHMbfAf+NuZNK/vhanyT4Br4hPEsPNoZzF3wLq+Hwa8Wc7bBKfAS7/v4nilFP1yNbxK8AR86bJ+zQZaVtMxr+Xuc8j1XwIayWM4KLuJY+16BkwHPa+BSgUX8AHwa8HyR/4vDFjjKaykJXvyD3SeKfuQhYi3NhNo3Az5reXYR/AZ2Jayb8q6fkr77AOw27mfBZcu5Q+APlgjPwY6UNt9iSaHlRx4i1tJM6DhZbd62PJtnIe3idnLKg9M6OGfUn0EYAeuGKDcTJOkneETBpMUFcJ8HPg0/0ojYxi4tzYT6IV/OoXFfAb8zARqnYJsvU1bFQQZNDlzXI8Z+Au/wZNtlYdsEuAFeZhI3YkqDMMj8NR4K2+1H3vHV0Ezsx2geWuqsbfIKUNYY5pYfhhpXlxsJtu6KkUxJzoCxZTYs3tFLAV9V9COrA1uYXRqaiRy3w8D3MmnlgnUtwlbH875tPaDNZdOVEFRZEpyXGfMx82XVeknBa/qRZdfhxBHNRPrxmslaAe8XTMD9DGLQaviBYpK67rNlORH0A4XUf4/YsYh6RzfHdjjgR1YiDrNLQzORftTYNmk4Ltj3PO2XyREG+F7LuAoPJmayx0p/m+ZxkMT8YgupTEE+BpusS6PwMaaubacfaURsa5eWZiL9GOeAquMinmAbp0mhyap3s2VMJ5PREzB/lYmJwyhXvCa3UukGLDBGCylrPw0/8oivhmasamgxZK/k4WEP5zSzzm3Ew6OQmulnLefh4TXj4eHh4eHh8b/hDytmHtEl4xdfAAABHXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT55PC9taT48bW8+PTwvbW8+PG1vPiYjeDIyMTI7PC9tbz48bW4+NTwvbW4+PG1pPng8L21pPjxtbz4mI3hBMDs8L21vPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj4mYW1wOzwvbWk+PG1vPiYjeEEwOzwvbW8+PG1uPjI1PC9tbj48bWk+eDwvbWk+PG1vPis8L21vPjxtbj41PC9tbj48bWk+eTwvbWk+PG1vPj08L21vPjxtbj4xPC9tbj48bXNwYWNlIGxpbmVicmVhaz0ibmV3bGluZSIvPjwvbWF0aD4qPnh3AAAAAElFTkSuQmCC)
Maths-General
Maths-
Tell whether the given sequence is an arithmetic sequence. 93,86,79,72,66,...
Tell whether the given sequence is an arithmetic sequence. 93,86,79,72,66,...
Maths-General
Maths-
Are graphs of the equations parallel, perpendicular or neither?
![y equals 2 x plus 6 space straight & space y equals 1 half x plus 3](data:image/png;base64,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)
Are graphs of the equations parallel, perpendicular or neither?
![y equals 2 x plus 6 space straight & space y equals 1 half x plus 3](data:image/png;base64,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)
Maths-General
Maths-
Tell whether the given sequence is an arithmetic sequence. 37,3,31,29,26,23,...
Tell whether the given sequence is an arithmetic sequence. 37,3,31,29,26,23,...
Maths-General
Maths-
What are the horizontal asymptotes for the graph
![f left parenthesis x right parenthesis equals fraction numerator 3 x minus 2 over denominator x squared plus 7 x plus 12 end fraction](data:image/png;base64,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)
What are the horizontal asymptotes for the graph
![f left parenthesis x right parenthesis equals fraction numerator 3 x minus 2 over denominator x squared plus 7 x plus 12 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Tell whether the given sequence is an arithmetic sequence. 3,6,9,15,18,...
Tell whether the given sequence is an arithmetic sequence. 3,6,9,15,18,...
Maths-General