Homework Help is Here – Start Your Trial Now!
Math
Calculus
Identify the y-intercepts, horizontal or oblique asymptotes, holes, x-inteceps and vertical asymptotes of f(x) f(x) = 2x3+x2- 25x+12 / (4x2-16x+12)

Identify the y-intercepts, horizontal or oblique asymptotes, holes, x-inteceps and vertical asymptotes of f(x) f(x) = 2x3+x2- 25x+12 / (4x2-16x+12)

Calculus: Early Transcendentals
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
icon
Related questions
Question

Identify the y-intercepts, horizontal or oblique asymptotes, holes, x-inteceps and vertical asymptotes of f(x)

f(x) = 2x3+x2- 25x+12 / (4x2-16x+12)

Expert Solution
Step 1

NOTE: Refresh your page if you can't see any equations.

.

y=\frac{2x^3+x^2-25x+12}{4x^2-16x+12}.................(1)

write the factored form of the numerator

2x^3+x^2-25x+12

here we have

a_0=12,\:\quad a_n=2

\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:2,\:3,\:4,\:6,\:12

\mathrm{The\:dividers\:of\:}a_n:\quad 1,\:2

rational\:\:numbers: \pm \left ( \frac{1,\:2,\:3,\:4,\:6,\:12}{1,\:2} \right )

here x=3 is a root, so take the synthetic division

steps

Step by step

Solved in 6 steps with 44 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
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: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS