Question
Identify the vertical and horizontal asymptotes of each rational function.
![straight F left parenthesis straight x right parenthesis equals fraction numerator 5 x squared minus 19 x minus 4 over denominator 2 x squared minus 2 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: x = 1 & x =-1, y = 5/2
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 .
2x2 - 2= 0
x2 = 1
x = 1 or x = -1
The vertical asymptote of the rational function is x = 1 or -1 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= 1 & x=-1 and horizontal asymptote is
y = (leading coefficient of numerator) / (leading coefficient of denominator) = ![5 over 2](data:image/png;base64,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)
Related Questions to study
Graph the function
![F left parenthesis x right parenthesis equals fraction numerator 2 x minus 3 over denominator 3 x plus 4 end fraction](data:image/png;base64,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)
Graph the function
![F left parenthesis x right parenthesis equals fraction numerator 2 x minus 3 over denominator 3 x plus 4 end fraction](data:image/png;base64,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)
Identify the vertical and horizontal asymptotes of each rational function.
![straight F left parenthesis straight x right parenthesis equals fraction numerator 4 straight x plus 3 over denominator straight x squared minus 4 end fraction](data:image/png;base64,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)
Identify the vertical and horizontal asymptotes of each rational function.
![straight F left parenthesis straight x right parenthesis equals fraction numerator 4 straight x plus 3 over denominator straight x squared minus 4 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGUAAAAmCAYAAADdsFUNAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAo1JREFUeNrtWj1LA0EUPESCRRBERMRCkCAWEgJiISGIjYWkEMFKREQQCSL+BTuxEFtrO2uRgIiISBDEwkJEEP9DCgkhEGfhFeeRmN27t5tNdgcGwiW5vdu593kvCPobRbDZ5WtYBm/AH7AGfoLn4GjgINLguwWi3IPrYCp0LAeWXRTlAtzVKErS81ZdEyQP3rXZvCGwAk5Gjo+BL/S9blGmwQ+XBBFu4g2c+mfz5sjPh3ENrmi2lHFwh+LKqkuinIAHEpsnflOiz9vgpUb31YzwyCVBsuCTwuZdgUvgl0Q21JRgJ4yAa+AzresExM1mFEQpgHVwz3CgT9O1OgGVJ3kAfAQ3KZ6Yzr5qnDdeIr+t4uNLXRaqFY4p6ApsUUFnSpQsBXs2n12J8b8n+q8toixQPAnjjMThFuUB3AAHyTpFhf9NyUVs049ubi7GxsyTq7BBFFGH3FLQjUKkyYvM6xfIPdaIosIvcimfa5HZqOCRxPFgNMfTSP6vikPFWOQhIUqZTDFuu2Ix1PrwYBKlGvztdKq2K1JB+yYcR2HmTI4fRoOhXVH3zz6vpTQY2hV1Qw9Tr5LFfam0K7z70mApIrfPtzgu267wgd5gSizbrjigc3gwitKqeFRpV/jiUYMoAdUl2Rjtim62WTolCHV62DK9KlwvNiQ7YYBS+tdetqh9xXbJaRDvJZJp1AIPqyBqrAe/DfZggtzrtIG1bJjYtB4zVFtNGFjLlolN6y1EZInDhtbTPbFpLVReJwhBZg1d138Tm05A9nWCqf6azMSmE0g6/cgJ2YlNJ6Ay/Shb/at2sVUnNvseSaYfuaA6sdnXSDr9yAX/jiiEpNOPuoVyDhzTj14U5jrF5PSjFlF+AVrLH2hChNqAAAABUnRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj5GPC9taT48bW8+KDwvbW8+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPng8L21pPjxtbz4pPC9tbz48bW8+PTwvbW8+PG1mcmFjPjxtcm93Pjxtbj40PC9tbj48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+eDwvbWk+PG1vPis8L21vPjxtbj4zPC9tbj48L21yb3c+PG1yb3c+PG1zdXA+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPng8L21pPjxtbj4yPC9tbj48L21zdXA+PG1vPiYjeDIyMTI7PC9tbz48bW4+NDwvbW4+PC9tcm93PjwvbWZyYWM+PC9tYXRoPlpPhpEAAAAASUVORK5CYII=)
Identify the vertical and horizontal asymptotes of each rational function.
![straight F left parenthesis straight x right parenthesis equals fraction numerator 5 x plus 6 over denominator x squared minus 9 x plus 18 end fraction](data:image/png;base64,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)
Identify the vertical and horizontal asymptotes of each rational function.
![straight F left parenthesis straight x right parenthesis equals fraction numerator 5 x plus 6 over denominator x squared minus 9 x plus 18 end fraction](data:image/png;base64,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)
Identify the vertical and horizontal asymptotes of each rational function.
![straight F left parenthesis straight x right parenthesis equals fraction numerator 3 straight x squared over denominator 4 straight x squared minus 1 end fraction](data:image/png;base64,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)
Identify the vertical and horizontal asymptotes of each rational function.
![straight F left parenthesis straight x right parenthesis equals fraction numerator 3 straight x squared over denominator 4 straight x squared minus 1 end fraction](data:image/png;base64,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)
The graphs of
and
are parallel lines. What is the value of ?
When two lines have distinct y-intercepts but the same slope, they are said to be parallel. They are perpendicular if the slopes of two lines are negative reciprocals of one another.
Parallel-Line: Two or more lines present in the same plane but never crossing each other are said to be parallel lines. They don't have anything in common.
Perpendicular-Line: Perpendicular lines are two lines that meet at an intersection point, which form 4 right angles.
Slope: The slope of a line indicates how sharp it is and is calculated by dividing the distance that a point on the line must travel horizontally and vertically to reach another point. Y-Intercept: Y-Intercept is the point at which the graph crosses the y-axis. From the Given Equation, the parallel lines can be written as 3x-9y=15 and y=mx-4. If the corresponding angles are equal, the two lines are considered parallel.
The graphs of
and
are parallel lines. What is the value of ?
When two lines have distinct y-intercepts but the same slope, they are said to be parallel. They are perpendicular if the slopes of two lines are negative reciprocals of one another.
Parallel-Line: Two or more lines present in the same plane but never crossing each other are said to be parallel lines. They don't have anything in common.
Perpendicular-Line: Perpendicular lines are two lines that meet at an intersection point, which form 4 right angles.
Slope: The slope of a line indicates how sharp it is and is calculated by dividing the distance that a point on the line must travel horizontally and vertically to reach another point. Y-Intercept: Y-Intercept is the point at which the graph crosses the y-axis. From the Given Equation, the parallel lines can be written as 3x-9y=15 and y=mx-4. If the corresponding angles are equal, the two lines are considered parallel.