Question
Find the vertical and horizontal asymptotes of rational function, then graph the function.
![straight F left parenthesis straight x right parenthesis equals fraction numerator x plus 2 over denominator x minus 3 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= 3 and horizontal asymptote is y = (leading coefficient of numerator) / (leading coefficient of denominator) = 1/1=1
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 - 3 = 0
x = 3
The vertical asymptote of the rational function is x = 3
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 = 3 and horizontal asymptote is
y = (leading coefficient of numerator) / (leading coefficient of denominator) =
=1
Related Questions to study
Which sequence is an arithmetic sequence?
Which sequence is an arithmetic sequence?
Write an equation of a line that passes through the given line and is perpendicular to the given line.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAbgAAAAyCAYAAAAuls65AAABPUlEQVR4nO3bMYqEMACF4VVXPIqVjfe/hacRwUy/hB2LjDKP7ytDitf9BLQrpZQfAAjTPz0AAD5B4ACIJHAARBI4ACIJHACRBA6ASAIHQCSBAyCSwAEQSeAAiCRwAEQSOAAiCRwAkQQOgEgCB0AkgQMgksABEEngAIgkcABEEjgAIv3WDpdluXsHALy1bdvlu10ppfw9HMex6SAAaOE4jst3qy+4eZ6bjQGAJ1QDNwzD3TsAoKlq4PretycAfDeBAyBSNXBd1929AwCa8lQDIFL1BXee5907AKCp6n9w0zQ9sQUA/rXv++W71Rfcuq7NxgDAE6ovOAD4dj4yASCSwAEQSeAAiCRwAEQSOAAiCRwAkQQOgEgCB0AkgQMgksABEEngAIgkcABEEjgAIgkcAJEEDoBIAgdAJIEDINILyn0dfvj+7mMAAAAASUVORK5CYII=)
![left parenthesis negative 6 comma negative 3 right parenthesis semicolon y equals negative 2 over 5 x](data:image/png;base64,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)
Write an equation of a line that passes through the given line and is perpendicular to the given line.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAbgAAAAyCAYAAAAuls65AAABPUlEQVR4nO3bMYqEMACF4VVXPIqVjfe/hacRwUy/hB2LjDKP7ytDitf9BLQrpZQfAAjTPz0AAD5B4ACIJHAARBI4ACIJHACRBA6ASAIHQCSBAyCSwAEQSeAAiCRwAEQSOAAiCRwAkQQOgEgCB0AkgQMgksABEEngAIgkcABEEjgAIv3WDpdluXsHALy1bdvlu10ppfw9HMex6SAAaOE4jst3qy+4eZ6bjQGAJ1QDNwzD3TsAoKlq4PretycAfDeBAyBSNXBd1929AwCa8lQDIFL1BXee5907AKCp6n9w0zQ9sQUA/rXv++W71Rfcuq7NxgDAE6ovOAD4dj4yASCSwAEQSeAAiCRwAEQSOAAiCRwAkQQOgEgCB0AkgQMgksABEEngAIgkcABEEjgAIgkcAJEEDoBIAgdAJIEDINILyn0dfvj+7mMAAAAASUVORK5CYII=)
![left parenthesis negative 6 comma negative 3 right parenthesis semicolon y equals negative 2 over 5 x](data:image/png;base64,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)
When will the graph of a rational function have no vertical asymptotes ? Give an example of such a function.
Let's say that r is a rational function.
Identify R's domain.
If necessary, reduce r(x) to its simplest form.
Find the x- and y-intercepts of the y=r(x) graph if one exists.
If the graph contains any vertical asymptotes or holes, locate where they are.
Then, identify and, if necessary, analyze r's behavior on each side of the vertical asymptotes.
Investigate R's final behavior. If one exists, locate the horizontal or slant asymptote.
The graph of y=r(x) can be drawn using a sign diagram and additional points if necessary.
When will the graph of a rational function have no vertical asymptotes ? Give an example of such a function.
Let's say that r is a rational function.
Identify R's domain.
If necessary, reduce r(x) to its simplest form.
Find the x- and y-intercepts of the y=r(x) graph if one exists.
If the graph contains any vertical asymptotes or holes, locate where they are.
Then, identify and, if necessary, analyze r's behavior on each side of the vertical asymptotes.
Investigate R's final behavior. If one exists, locate the horizontal or slant asymptote.
The graph of y=r(x) can be drawn using a sign diagram and additional points if necessary.