i) Determine the following information for each rational function: -domain -x and y intercepts - coordinates of any hole (removable discontinuity) - equations of asymptotes (vertical, horizontal/oblique) - Behaviour of function at the vertical asymptotes -End Behaviour of function ii) Use this information to sketch a graph (on graph paper) of each function. 2x² - 4x f(x)=- x²8x+12 1. f(x)= x-1 x+3x-10 2 2.

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...
icon
Related questions
Question
Rational Functions Task
i) Determine the following information for each rational function:
- domain
-x and y intercepts
- coordinates of any hole (removable discontinuity)
- equations of asymptotes (vertical, horizontal/oblique)
1.
- Behaviour of function at the vertical asymptotes
- End Behaviour of function
ii) Use this information to sketch a graph (on graph paper) of each function.
x-1
2x² - 4x
f(x)=
f(x)=-
x² + 3x-10
x²8x+12
3. f(x) =
x²-9
4-x²
2.
4. f(x)=
x³+x²-10x+8
x²-x-2
Transcribed Image Text:Rational Functions Task i) Determine the following information for each rational function: - domain -x and y intercepts - coordinates of any hole (removable discontinuity) - equations of asymptotes (vertical, horizontal/oblique) 1. - Behaviour of function at the vertical asymptotes - End Behaviour of function ii) Use this information to sketch a graph (on graph paper) of each function. x-1 2x² - 4x f(x)= f(x)=- x² + 3x-10 x²8x+12 3. f(x) = x²-9 4-x² 2. 4. f(x)= x³+x²-10x+8 x²-x-2
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
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