Multiple ChoiceGraph the rational function using transformations.f(x)=−1x+3f\left(x\right)=-\frac{1}{x}+3f(x)=−x1+3261views1rank
Multiple ChoiceGraph the rational function using transformations. f(x)=1(x+3)2−2f\left(x\right)=\frac{1}{\left(x+3\right)^2}-2f(x)=(x+3)21−2156views1rank
Multiple ChoiceGraph the rational function. f(x)=x+3x2+5x+6f\left(x\right)=\frac{x+3}{x^2+5x+6}f(x)=x2+5x+6x+3289views1rank
Textbook QuestionSolve each problem. This rational function has two holes and one vertical asymptote. ƒ(x)=(x^3+7x^2-25x-175)/(x^3+3x^2-25x-75)What are the x-values of the holes?5views
Textbook QuestionIn Exercises 57–64, find the vertical asymptotes, if any, the horizontal asymptote, if one exists, and the slant asymptote, if there is one, of the graph of each rational function. Then graph the rational function. g(x) = (2x - 4)/(x + 3)4views
Textbook QuestionIn Exercises 57–64, find the vertical asymptotes, if any, the horizontal asymptote, if one exists, and the slant asymptote, if there is one, of the graph of each rational function. Then graph the rational function. h(x) = (x^2 - 3x - 4)/(x^2 - x -6)7views
Textbook QuestionIdentify any vertical, horizontal, or oblique asymptotes in the graph of y=f(x)y=f\left(x\right)y=f(x). State the domain of fff.<IMAGE>4views
Textbook QuestionIn Exercises 37–44, find the horizontal asymptote, if there is one, of the graph of each rational function. f(x)=(−2x+1)/(3x+5)30views
Textbook QuestionIn Exercises 37–44, find the horizontal asymptote, if there is one, of the graph of each rational function. h(x)=12x^3/(3x^2+1)31views
Textbook QuestionIn Exercises 37–44, find the horizontal asymptote, if there is one, of the graph of each rational function. g(x)=12x^2/(3x^2+1)27views
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. r(x)=x/(x^2+4)20views
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/x(x+4)21views
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(x+4)69views
Textbook QuestionIn Exercises 57–64, find the vertical asymptotes, if any, the horizontal asymptote, if one exists, and the slant asymptote, if there is one, of the graph of each rational function. Then graph the rational function. g(x) = (4x^2 - 16x + 16)/(2x - 3)22views
Textbook QuestionIn Exercises 57–64, find the vertical asymptotes, if any, the horizontal asymptote, if one exists, and the slant asymptote, if there is one, of the graph of each rational function. Then graph the rational function. r(x) = (x^2 + 4x + 3)/(x + 2)^223views
Textbook QuestionIn Exercises 57–64, find the vertical asymptotes, if any, the horizontal asymptote, if one exists, and the slant asymptote, if there is one, of the graph of each rational function. Then graph the rational function. f(x) = 2x/(x^2 - 9)38views
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^2+3x+4)/(x-5)7views
Textbook QuestionGive the equations of any vertical, horizontal, or oblique asymptotes for the graph of each rational function. See Example 4. ƒ(x)=3/(x-5)12views
Textbook QuestionGive the equations of any vertical, horizontal, or oblique asymptotes for the graph of each rational function. See Example 4. ƒ(x)=(4-3x)/(2x+1)15views
Textbook QuestionGive the equations of any vertical, horizontal, or oblique asymptotes for the graph of each rational function. See Example 4. ƒ(x)=(2x+6)/(x-4)14views
Textbook QuestionGive the equations of any vertical, horizontal, or oblique asymptotes for the graph of each rational function. See Example 4. ƒ(x)=(4x^2+25)/(x^2+9)16views
Textbook QuestionWork each problem. Choices A–D below show the four ways in which the graph of a rational function can approach the vertical line x=2 as an asymptote. Identify the graph of each rational function defined in parts (a) – (d). ƒ(x)=1/(x-2)^213views
Textbook QuestionWork each problem. Choices A–D below show the four ways in which the graph of a rational function can approach the vertical line x=2 as an asymptote. Identify the graph of each rational function defined in parts (a) – (d). ƒ(x)=1/(x-2)10views
Textbook QuestionWork each problem. Choices A–D below show the four ways in which the graph of a rational function can approach the vertical line x=2 as an asymptote. Identify the graph of each rational function defined in parts (a) – (d). ƒ(x)=-1/(x-2)13views
Textbook QuestionGraph each rational function. See Examples 5–9. ƒ(x)=[(x+6)(x-2)]/[(x+3)(x-4)]4views
Textbook QuestionGraph each rational function. See Examples 5–9. ƒ(x)=[(x+3)(x-5)]/[(x+1)(x-4)]4views
Textbook QuestionProvide a short answer to each question. What is the domain of the function ƒ(x)=1/x^2? What is its range?9views
Textbook QuestionProvide a short answer to each question. What is the equation of the vertical asymptote of the graph of y=1/(x-3)+2? Of the horizontal asymptote?17views
Textbook QuestionWork each problem. Which function has a graph that does not have a vertical asymptote? A. ƒ(x)=1/(x^2+2) B. ƒ(x)=1/(x^2-2) C. ƒ(x)=3/x^2 D. ƒ(x)=(2x+1)/(x-8)10views
Textbook QuestionIdentify any vertical, horizontal, or oblique asymptotes in the graph of y=ƒ(x). State the domain of ƒ. 14views
Textbook QuestionFind a rational function ƒ having a graph with the given features. x-intercepts: (-1, 0) and (3, 0) y-intercept: (0, -3) vertical asymptote: x=1 horizontal asymptote: y=112views
Textbook QuestionFind a rational function ƒ having a graph with the given features. x-intercepts: (1, 0) and (3, 0) y-intercept: none vertical asymptotes: x=0 and x=2 horizontal asymptote: y=124views
Textbook QuestionSolve each problem. Work each of the following. Sketch the graph of a function that does not intersect its horizontal asymptote y=1, has the line x=3 as a vertical asymptote, and has x-intercepts (2, 0) and (4, 0).14views
Textbook QuestionProvide a short answer to each question. Is ƒ(x)=1/x an even or an odd function? What symmetry does its graph exhibit?11views
Textbook QuestionUse the graph of the rational function in the figure shown to complete each statement in Exercises 9–14. As x -> -3^-, f(x) -> __33views
Textbook QuestionUse the graph of the rational function in the figure shown to complete each statement in Exercises 15–20. As x -> ∞, f(x) -> __24views
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)9views
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−3)^2+112views
Textbook QuestionIn Exercises 57–80, follow the seven steps to graph each rational function. f(x)=4x/(x−2)11views
Textbook QuestionIn Exercises 57–80, follow the seven steps to graph each rational function. f(x)=2/(x^2+x−2)10views
Textbook QuestionIn Exercises 57–80, follow the seven steps to graph each rational function. f(x)=2x^2/(x^2+4)11views
Textbook QuestionIn Exercises 81–88, a. Find the slant asymptote of the graph of each rational function and b. Follow the seven-step strategy and use the slant asymptote to graph each rational function. f(x)=(x^2−1)/x16views
Textbook QuestionIn Exercises 81–88, a. Find the slant asymptote of the graph of each rational function and b. Follow the seven-step strategy and use the slant asymptote to graph each rational function. f(x)=(x^2+1)/x16views
Textbook QuestionIn Exercises 81–88, a. Find the slant asymptote of the graph of each rational function and b. Follow the seven-step strategy and use the slant asymptote to graph each rational function. f(x)=(x^2+x−6)/(x−3)11views
Textbook QuestionIn Exercises 81–88, a. Find the slant asymptote of the graph of each rational function and b. Follow the seven-step strategy and use the slant asymptote to graph each rational function. f(x)=(x^3+1)/(x^2+2x)11views
Textbook QuestionIn Exercises 57–80, follow the seven steps to graph each rational function. f(x)=(x^2+x−12)/(x^2−4)8views
Textbook QuestionIn Exercises 95–98, use long division to rewrite the equation for g in the form quotient + remainder/divisor. Then use this form of the function's equation and transformations of f(x) = 1/x to graph g. g(x)=(3x−7)/(x−2)4views