Question
A Trainer mixed water with an electrolyte solution. Container is having 12 gal of 25% electrolyte solution. The Concentration of electrolytes can be modelled by
, Graph the function.
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= -4 and horizontal asymptote is y = (leading coefficient of numerator) / (leading coefficient of denominator) = 2/1=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 .
x + 12 = 0
x = -12
The vertical asymptote of the rational function is x= -12
We will find more points on the function and graph the function.
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)
From the graph we can analyze that the vertical asymptote of the rational function is x= -4 and horizontal asymptote is
y = (leading coefficient of numerator) / (leading coefficient of denominator) =
=2
Related Questions to study
Find the 12th term. -8, -5.5 , -3, -0.5, 2.0,....
Find the 12th term. -8, -5.5 , -3, -0.5, 2.0,....
Write an equation of a line that passes through the given line and is perpendicular to the given line.
![left parenthesis 4 comma 3 right parenthesis semicolon space 4 x minus 5 y equals 30](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.
![left parenthesis 4 comma 3 right parenthesis semicolon space 4 x minus 5 y equals 30](data:image/png;base64,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)
Write recursive formula. -5,-8.5,-12,-15.5,-19,....
Write recursive formula. -5,-8.5,-12,-15.5,-19,....
Write an equation of a line that passes through the given line and is perpendicular to the given line.
![left parenthesis negative 2 comma 5 right parenthesis semicolon space x equals 3](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.
![left parenthesis negative 2 comma 5 right parenthesis semicolon space x equals 3](data:image/png;base64,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)
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 minus 1 over denominator 2 x plus 1 end fraction](data:image/png;base64,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)
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 minus 1 over denominator 2 x plus 1 end fraction](data:image/png;base64,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)
Write recursive formula. 2,6,10,14,18,....
Write recursive formula. 2,6,10,14,18,....
Write an equation of a line that passes through the given line and is perpendicular to the given line.
![left parenthesis 0 comma 3 right parenthesis semicolon space 3 x minus 4 y equals negative 8](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.
![left parenthesis 0 comma 3 right parenthesis semicolon space 3 x minus 4 y equals negative 8](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJEAAAARCAYAAADdaE77AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAA0lJREFUeNrtWV9kW1EYP6aiZkbN1PRh1J5mIuRpYiZM1VRUqdnDzJSpicn7zB5mxExMzaipmZkwtYeZKFMVNRVmpqam1B72MH3ZQ9VElOz77Je5+Zxzc+7Nzc3NlR8/knPP+c65537n+3eUascdYlGFgyLmGyJGSBK3Qp7zE+YdIibgD5oSbSeJz4k1cBltnZAlVoh/iHXiLvEp8ZTolyZu+lirrfx+Y4bYjIFuHCcuEQ+x32vECdkpBSWSWCfmxKasW0y6QZwjJsQca5q+m1AmL/Aiv184QdyJiRKtEB8RR7DnRRiVNjwm5kXbPLRPgk/8dZ+LOdC03Q0wDjuI0Maz1V6IiRLVxf9jxIbsxCf4kmhbJU4ZXMmqj4VMEr9r2i9aWje/8hcMSvoQz3qBjOOdmoaTfU3TXsCJjxoOYVmdSvRTd4ITou23pk2hbd/DAsaJtxC3XDXIc1qQMjZ+NiD5jC/o1wL3f9ajDef32SaedVGim7D+Mu7YNcR1TQv2EkvwGM6D/0R2OtIMPHIR2rCYWL5kwVKerRJ5kT9NLOH3lYAsn1vpIi/WKcHK/la0PSDej3Dm3gCrxF8az+VZieoeFjAGheBA7HIXStmNfMZHPP9qkcX5PflJTYKi68vzf3P8P03cI472UBH8vhNb1DfEMw7PlMZ6k53c2b7BnY16dGfObKVm4c66yYZqLs8LUNZe1qV4/nMWSqRQnmih1MGS9tOdvTPsWRZZctspzWgC62nN4CmfgbXJggUVWLtZyAzWXOoiswzitMvSxiS4h2B1EDIz4zNdis91mBeagS99fogkAkeJvCbIVAHK54/0HoErW6vPKtyipMlKvFL/anDsKm5EOL3f0VhXxnnERv9hKjZuwMy2ikz3EFipDoFwFXWmEZwwNn0/kJUozYlMewysbeVzrFERSsMF09cRUKICUv3tiNeI5qBIWex1a7/Zei7Kzlsa3zeGF63Dhy+LeoHpo3Pk/gHj6lDGGc0CddceNkpkIz8Bfz6hGV82uOowlWgWz3Iq+phHmaSB/a6avk83F7BllxqNG0wXsH7lDRJyKvwL71CwqLxfQaSQro54HMdx0O0A5Q0aKkgqhoC7GI+wvCjiAtxxLPAXqWL6+lPCOmAAAADodEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPig8L21vPjxtbj4wPC9tbj48bW8+LDwvbW8+PG1uPjM8L21uPjxtbz4pPC9tbz48bW8+OzwvbW8+PG1vPiYjeEEwOzwvbW8+PG1uPjM8L21uPjxtaT54PC9taT48bW8+JiN4MjIxMjs8L21vPjxtbj40PC9tbj48bWk+eTwvbWk+PG1vPj08L21vPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjg8L21uPjwvbWF0aD6hIQiSAAAAAElFTkSuQmCC)
Tell whether the given sequence is an arithmetic sequence. -6,5,16,27,38,....
Tell whether the given sequence is an arithmetic sequence. -6,5,16,27,38,....
Tell whether the given sequence is an arithmetic sequence. 48,45,42,39,....
Tell whether the given sequence is an arithmetic sequence. 48,45,42,39,....
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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)
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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)
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,iVBORw0KGgoAAAANSUhEUgAAAJIAAAAjCAYAAAB/7VNeAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAA3BJREFUeNrtm12EVGEYx19rjawVa62VLmIlIxnDWkmSWFkjYy1JkiRWxsroPl0kVheji25WukgyJMlaI5I11lpLstJFYnTVbRcja4xleh7zH52O95yz5+M9M3PO8+PPzJmZ8/Gc533f5+OMUkJaOE96S2qS2qQ90g0xi+CXOuk6aRzvT5O2sU0QQnGC9FXMIERBS0wghOUcljdBCMwR0i6CcEEIxATpPemymEIIygyc6KSYQghKlvScNGb6QCXSasqMu4rrTjrTpDekUdMHypF2UjpSt3H9SWYDM1Isxswb2vccRgOX57lusU66GMM1XSLVSPs47g/SU9Kk7XuzpK2EO1LHRZGRN1hPWIbjnML7o6rb44njxm2SlkgZ27V+0Hx3Cw4lhOAJacXAfrmf83kAr7ep2XYvhfFh5PAIvWBgv2tq8JqCnP5+12znKu8nj9++IF3TbC+THifYP+44DLJH+Oy/EZoxcAJ8w44NUNZyG3FSQfN5xjZTVRE/LFq23cLsbWUM+5z0GZdEHp8Y5gts2INt+cz+pQNDB28hNnqHgLeNpS7O52DsN67s8t22hyMVkDRYeUh6kIJVa4FUwet5p9n7wOfNOOzI6sCTC6hfjKhub4dHcCmEMwQZ2RNwil2XjLHtsQ+edb5Z3k+RGqrbt+pHtuV17Z2AcuIjbLfnMAMbW9p4v8cdssRffRpZ43Amr6XNiX3L64rHDJekpa0XC/Jgy7l5mokucA2zUJDRb5JWwGC7VyaYgRou15c0eo/qVtwSKFPpf8khy8k6zApxkMPSamdFE0jreEkqkl6TbqbEiXjQrCOxGEecq13aTBUkebmoI0Xs9XjOqu7jnfMegW0U8LGvWuIzrnT/RPalm2lmD3FOZZQB0vKI6hRWFqvjXCG9cvrBjjLTb+IT4Y7zHwT1dU3NypQj8XE2sJSxNmEEO7oWidM5LWJ7MQVOlEHGrYtzq8jktFN+P5u2VYf6Thw4NW1151RUw9ncjjXgv6v60ybII60e7cOxOS5a9nFONQTmw+hIiYenzukhOKczWCqVOJKQVsSRBHEkYbAciYvATcR599W/v28Lgm84eeByBzea+emMrJhECAv/r60uZhCiQP77L4SGyxkNMYPgB251cCF1BFqAEy2JaQQ/cPOan3rgfudv1X3Scy6qnf8FOx3zm8BTRrwAAADvdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPig8L21vPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjY8L21uPjxtbz4sPC9tbz48bW8+JiN4MjIxMjs8L21vPjxtbj4zPC9tbj48bW8+KTwvbW8+PG1vPjs8L21vPjxtaT55PC9taT48bW8+PTwvbW8+PG1vPiYjeDIyMTI7PC9tbz48bWZyYWM+PG1uPjI8L21uPjxtbj41PC9tbj48L21mcmFjPjxtaT54PC9taT48L21hdGg+63a5iwAAAABJRU5ErkJggg==)
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.