Trigonometry (11th Edition)
11th Edition
ISBN: 9780134217437
Author: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher: PEARSON
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Give an example of a rational function that has a slant asymptote of y=x
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- Some rational functions can have both horizontal and vertical asymptotes. Suppose that you have a function whose horizontal asymptote is at y = 40. What is a real-world function that could have this asymptote? Include a description of the situation and what the asymptote of 40 would mean in this case.arrow_forwardDetermine the eqation of a rational function that has a vertical asymptote at and a horizontal asymptote at.. This needs to be done using methods taught in grade 12 advanced functions.arrow_forwardThe graph of a rational function f is shown below. Assume that all asymptotes and intercepts are shown and that the graph has no "holes". Use the graph to complete the following. (a) Write the equations for all vertical and horizontal asymptotes. Enter the equations using the "and" button as necessary. Select "None" as necessary. 믐 마음 0-0 DandO (□,미) None Vertical asymptote(s): [0.0) (0,0) (0,0) Horizontal asymptote(s): O DUD (b) Find the domain and range of f. Write each answer as an interval or union of intervals. - 00 Domain: Range: (c) Find all x-intercepts and y-intercepts. Check all that apply. x-intercept(s): O-4 04 O -2 O None O None y-intercept(s): O-2arrow_forward
- Let (x) x²-5x+6 Answer the following questions about this rational x2-x-2 function.arrow_forwardTrue or False: In a rational function's graph, there may be more than one vertical asymptote.arrow_forwardWhich type of asymptote will never intersect the graph of a rational function?(a) horizontal (b) oblique (c) vertical (d) all of thesearrow_forward
- For any given rational function, differentiate between a function’s vertical and horizontal asymptotes. In two or more complete sentences, make a connection between the asymptotes and the function’s domain and range.arrow_forwardThe x-intercept(s) of a rational function are determined by finding the zeros of the denominator. O True mm putovilab at battimme al fummonivus ad quitanqui slide 207\mo3.rybnow is wod misal O Search O B Falsearrow_forwardGive the equation for the horizontal asymptote(s) of the function Graph the function. Clearly show the intercepts, asymptotes, and points on the graph. Use limits to describe the end behavior and the behavior at the vertical asymptotes of the graph. Write a polynomial function of minimal degree with the zeros 1+2i and 2 (multiplicity 3). Simplify the linear factors but do not multiply out. 4x'+1 Find the equations for all asymptotes of the function h(x)=- x+2 Solve:arrow_forward
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