04:08Find the Equations of the Vertical and Horizontal Asymptotes of Rational Function f(x)=(3x+12)/(x+2)Wendy1600views1rank
Multiple ChoiceSketch the graph of the function f(x)=1x2f\left(x\right)=\frac{1}{x^2}f(x)=x21. Identify the asymptotes on the graph.372views
Multiple ChoiceBased only on the vertical asymptotes, which of the following graphs could be the graph of the given function? f(x)=x2−4xx2−x−12f\left(x\right)=\frac{x^2-4x}{x^2-x-12}f(x)=x2−x−12x2−4x222views
Multiple ChoiceFind all vertical asymptotes and holes of each function. f(x)=−5x(2x−3)2f\left(x\right)=\frac{-5x}{\left(2x-3\right)^2}f(x)=(2x−3)2−5x189views1rank
Multiple ChoiceFind all vertical asymptotes and holes of each function. f(x)=x2−2x2x3−x2−6xf\left(x\right)=\frac{x^2-2x}{2x^3-x^2-6x}f(x)=2x3−x2−6xx2−2x216views1comments
Multiple ChoiceFind all vertical asymptotes and holes of each function. f(x)=x2+10x+252x2+8x−10f\left(x\right)=\frac{x^2+10x+25}{2x^2+8x-10}f(x)=2x2+8x−10x2+10x+25259views1rank
Multiple ChoiceFind the horizontal asymptote of each function. f(x)=−5x(2x+3)2f\left(x\right)=\frac{-5x}{\left(2x+3\right)^2}f(x)=(2x+3)2−5x248views4rank
Multiple ChoiceFind the horizontal asymptote of each function. f(x)=8x2+12x2−x−6f\left(x\right)=\frac{8x^2+1}{2x^2-x-6}f(x)=2x2−x−68x2+1188views
Multiple ChoiceFind the horizontal asymptote of each function. f(x)=x2+4x2x3+8x2f\left(x\right)=\frac{x^2+4x}{2x^3+8x^2}f(x)=2x3+8x2x2+4x218views1rank
Textbook QuestionIn Exercises 1–8, find the domain of each rational function. g(x)=3x^2/(x−5)(x+4)333views
Textbook QuestionIn Exercises 1–8, find the domain of each rational function. h(x)=(x+7)/(x^2−49)425views
Textbook QuestionUse the graphs of the rational functions in choices A–D to answer each question. There may be more than one correct choice. Which choices have domain (-∞, 3)U(3, ∞)?258views
Textbook QuestionUse the graph of the rational function in the figure shown to complete each statement in Exercises 9–14. As x -> 1^-, f(x) -> __235views
Textbook QuestionUse the graph of the rational function in the figure shown to complete each statement in Exercises 9–14. As x -> -∞, f(x) -> __629views1rank
Textbook QuestionUse the graph of the rational function in the figure shown to complete each statement in Exercises 15–20. As x -> 1^+, f(x) -> __401views
Textbook QuestionMatch the rational function in Column I with the appropriate descrip-tion in Column II. Choices in Column II can be used only once. ƒ(x)=(x+7)/(x+1)223views
Textbook QuestionIn Exercises 21–36, find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of each rational function. f(x)=(x^2−9)/(x−3)887views
Textbook QuestionMatch the rational function in Column I with the appropriate descrip-tion in Column II. Choices in Column II can be used only once. ƒ(x)=1/(x+4)210views
Textbook QuestionIn Exercises 21–36, find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of each rational function. g(x)=(x−3)/(x^2−9)274views
Textbook QuestionIn Exercises 21–36, find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of each rational function. h(x)=(x+7)/(x^2+4x−21)306views
Textbook QuestionGive the equations of any vertical, horizontal, or oblique asymptotes for the graph of each rational function. See Example 4. ƒ(x)=(x^2-1)/(x+3)325views
Textbook QuestionGive the equations of any vertical, horizontal, or oblique asymptotes for the graph of each rational function. See Example 4. ƒ(x)=(x^2+4)/(x-1)171views
Textbook QuestionGive the equations of any vertical, horizontal, or oblique asymptotes for the graph of each rational function. See Example 4. ƒ(x)=(x^2-2x-3)/(2x^2-x-10)218views
Textbook QuestionIn Exercises 45–56, use transformations of f(x)=1/x or f(x)=1/x^2 to graph each rational function. h(x)=1/x + 2177views
Textbook QuestionIn Exercises 45–56, use transformations of f(x)=1/x or f(x)=1/x^2 to graph each rational function. g(x)=1/(x+1) − 2191views
Textbook QuestionIn Exercises 45–56, use transformations of f(x)=1/x or f(x)=1/x^2 to graph each rational function. g(x)=1/(x+2)^2203views
Textbook QuestionWork each problem. Which function has a graph that does not have a horizontal asymptote? A. ƒ(x)=(2x-7)/(x+3) B. ƒ(x)=3x/(x^2-9) C. ƒ(x)=(x^2-9)/(x+3) D. ƒ(x)=(x+5)/(x+2)(x-3)167views
Textbook QuestionIdentify any vertical, horizontal, or oblique asymptotes in the graph of y=ƒ(x). State the domain of ƒ. 195views
Textbook QuestionIdentify any vertical, horizontal, or oblique asymptotes in the graph of y=ƒ(x). State the domain of ƒ. 261views
Textbook QuestionIn Exercises 57–80, follow the seven steps to graph each rational function. f(x)=(x+2)/(x^2+x−6)168views
Textbook QuestionIn Exercises 57–80, follow the seven steps to graph each rational function. f(x)=(x−2)/(x^2−4)257views
Textbook QuestionSolve each problem. Work each of the following. Find an equation for a possible corresponding rational function.219views
Textbook QuestionSolve each problem. Work each of the following. Find an equation for a possible corresponding rational function.151views
Textbook QuestionIn Exercises 57–80, follow the seven steps to graph each rational function. f(x)=x^4/(x^2+2)261views
Textbook QuestionIn Exercises 89–94, the equation for f is given by the simplified expression that results after performing the indicated operation. Write the equation for f and then graph the function. 5x^2/(x2−4) ⋅ (x^2+4x+4)/(10x^3)181views
Textbook QuestionIn Exercises 89–94, the equation for f is given by the simplified expression that results after performing the indicated operation. Write the equation for f and then graph the function. x/(2x+6) − 9/(x^2−9)226views
Textbook QuestionIn Exercises 89–94, the equation for f is given by the simplified expression that results after performing the indicated operation. Write the equation for f and then graph the function. (1 − 3/(x+2)) / (1 + 1/(x−2))171views
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