The graph of a rational function fis 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 horizontalasymptotes. Enter the equations using the "and" button asnecessary. Select "None" as necessary.Vertical asymptote(s):Horizontal asymptote(s): |(b) Find allr-intercepts and 1-intercepts. Check all that apply.r-intercept(s):5None1-intercept(s):O 5None(c) Find the domain and range of f.Write each answer as an interval or union of intervals.Domain:|Range:

Answered: The graph of a rational function f is…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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The 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. Vertical asymptote(s): Horizontal asymptote(s): (b) Find the domain and range of f. Write each answer as an interval or union of intervals. Domain: Range: (c) Find all x-intercepts and y-intercepts. Check all that apply. x-intercept(s): O-3 01 ONone y-intercept(s): 02 O None anation
2. State the domain, range, asymptotes and graph the following function 4x-3 f(x)= x +4 -4)
The 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. O=0 DandO (0,0) None Vertical asymptote(s): 0.0) (0,0) (0,0) Horizontal asymptote(s): OVO 00 (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-3 0 1 0 2 O None y-intercept(s): 01 00, 0 2 O None olo
Use the graph to answer the question. Find the horizontal and vertical asymptotes of the rational function graphed below.
The 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. 1. (a) Write the equations for all vertical and horizontal asymptotes. Enter the eqưations using the "and" button as necessary. Select "None" as necessary. O=0 DandO (0,0) None Vertical asymptote(s): [0,0) (0,0) [0,0) Horizontal asymptote(s): 00 (b) Find the domain and range of f. -00 Write each answer as an interval or union of intervals. Domain: Range: (c) Find all x-intercepts and y-intercepts. Check all that apply. x-intercept(s): 0 2 03 00 ONone y-intercept(s): 00 03 0 2 O None
2. Sketch the graph and all asymptotes of the function x²x+1 x - 1 Y =
1.)Give the domain in interval notation: 2.)Give any equations of the vertical asymptote(s)3.)Give the equation of the horizontal or oblique asymptote:4.) Write a possible function f(x) by typing in the numerator and denominator as indicated.
The 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. 6- (a) Find all x-intercepts and y-intercepts. Check all that apply. x-intercept(s): 0-1 0-2 0-4 O None DandO (0,0) None y-intercept(s): 0-4 0-2 O-1 O None [0,0) (0,0) (0,0) (b) Write the equations for all vertical and horizontal asymptotes. Enter the equations using the "and" button as necessary. Select "None" as necessary. DUO 00 Vertical asymptote(s): - 00 Horizontal asymptote(s): (c) Find the domain and range of f. Write each answer as an interval or union of intervals. Domain:| Range: Olo

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The 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.