Find the horizontal asymptote, if any, of the graph of the rational function.6) g(x)=2x2 1A) y 0B) y=2Oy=D) no horizontal asymptoteFind the vertical asymptotes, if any, of the graph of the rational function.7) h(x)=2-36A) x-6C) x=-6B) x-6, x -6D) no vertical asymptote

We can solve the problem by just obtaining the horizontal asymptote. NOTE :: As per our guidelines…

Answered: Find the horizontal asymptote, if any,…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Similar questions

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
11)For each of the following rational functions, identify all intercepts, asymptotes, and holes, showing all your steps. Then sketch a graph for each function, accurately labeling all intercepts, asymptotes, and holes. X-1 x2-9 a) f(x) = b) f(x)%3D x2-x-2 x2-2x-3
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
14. Find (A) the domain, (B) the intercepts, and any vertical or horizontal asymptotes for the graph of the rational functions: 222 г? — 2х — 8 2 i) f(x) ii g(x)
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.
Kk40.

Recommended textbooks for you

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781319050740

Author:

Jon Rogawski, Colin Adams, Robert Franzosa

Publisher:

W. H. Freeman

Precalculus

Calculus

ISBN:

9780135189405

Author:

Michael Sullivan

Publisher:

PEARSON

Calculus: Early Transcendental Functions

Calculus

ISBN:

9781337552516

Author:

Ron Larson, Bruce H. Edwards

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

Find the horizontal asymptote, if any, of the graph of the rational function. 6) g(x) = 22 1 B) y-2 A) y-0 D) no horizontal asymptote