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The domain of this function is This graph has horizontal asymptote(s) at This graph has vertical...
12 (Rational Functions) For each rational function below, find (a) the vertical asymptote(s). (b) the horizontal asymptote. (c) the x-intercept(s). (d) the y-intercept. (e) the graph of the function. 2x-6 (1) y X-2 x-5 (2) y 1+ x2-1 12 (Rational Functions) For each rational function below, find (a) the vertical asymptote(s). (b) the horizontal asymptote. (c) the x-intercept(s). (d) the y-intercept. (e) the graph of the function. 2x-6 (1) y X-2 x-5 (2) y 1+ x2-1
5. For the graph of this rational function, state the domain and write the equations of any asymptotes and coordinates of any hole. 4M Domain : Hole : Vertical asymptote(s) : Horizontal Asymptote : 6. For the graph of this rational function, identify the equations of any asymptotes and the coordinates of any hole. f(x) = - 2x + 10 x x? - 25 4M V.A.:
Graph by analyzing the given rational function: R(x) = -1 Domain: Rin lowest terms: x-intercept(s) and its multiplicity (cross or touch): y-intercept(s): Vertical asymptote(s), if any. Determine the behavior of the graph of R on either side of each vertical asymptote. Horizontal asymptote or oblique asymptote, if any: Additional points
Create a rational function such that the graph of has vertical asymptotes at x=5 and x= -7, a hole at x=2 , and a horizontal asymptote at y = 14. By creating a rational function, you are to write rule for this function. There are many correct solutions here.
5x2 3. Find all of the asymptotes of the rational function f(x) = Vertical Asymptote(s): Horizontal Asymptote: Slant/Oblique Asymptote:
Give the equations of any vertical, horizontal, or oblique asymptotes for the graph of the rational function. 3x2+6 f(x)x+2 Select the correct answer below and, if necessary, fill in the answer box to complete your choice. O A. The equation of the vertical asymptote is O B. There is no vertical asymptote. (Type an equation.)
Give the equations of any a) vertical and (b) horizontal asymptotes for the graph of the rational function y=f(x). 4-6x fx)-3x+6 a. Select the correct choice below and, if necessary, il in the answer box to complete your choice. A. There is one vertical asymptote The equation of the vertical asymptote is ied OB There are two vertical asymptotes From left to right on the graph, the equations of the vertical asymptotes are囚and ° C. There are no vertical asymptotes....
7. For each function below, find the intercept(s) (if any) and asymptote(s) (both horizontal and vertical, if any), and then sketch the graph with- out using a calculator; you must properly mark/label the ares, all in- tercept(s), horizontal or vertical asymptote(s) to get full credits: (i) y = 22-1 – 2 (ii) y=1- log2 (x + 2) x-intercept: 2-intercept: y-intercept: y-intercept: Asymptote: Asymptote: Graph: Graph:
please answer all Use transformations to graph the function. Determine the domain, range, and horizontal asymptote of the function. 9) f(x) = 5x + 3 6 Solve the equation 10) log5 (x + 1) = 1 + log5 (x - 1) +
There is a vertical asymptote at x=2, and a horizontal asymptote at y=3. Construct a suitable rational function f(x).