Find the domain of the function. 6x f(x) = %3D X + 6 all real numbers x such that x 2 6 all real numbers x such that x < 6 all real numbers x except x = -6 O all real numbers x such that x S-6 all real numbers x such that x > -6 Discuss the behavior of f near any excluded x-values. f(x)→0 as x -6, f(x) →0 as x -6* f(x)→ -∞ as x →-6 , f(x)→ -8 as x -6* O f(x) → o as x → -6, f(x) → as x → -6+ O (x) → ∞ as x -6 , f(x) →-o as x -6 O (x) → -8 as x -6, f(x) → o as x -6

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.1: Postulates For The Integers (optional)
Problem 30E
icon
Related questions
Topic Video
Question
Solve for these 2 pictures .
Find the domain of the function.
6x
f(x) =
x+ 6
all real numbers x such that x 2 6
all real numbers x such that x < 6
all real numbers x except x = -6
all real numbers x such that x S-6
all real numbers x such that x > -6
Discuss the behavior of f near any excluded x-values.
O f(x) → 0 as x → -6, f(x) → 0 as x -6
O f(x) → -o as x -6 , (x) → -oo as x -6+
O f(x) → o as x →-6, f(x) → as
x -6+
O (x) → ∞ as x -6 , f(x) → -o as x -6+
O (x) → -∞ as x -6, f(x) ∞ as x -6+
Need Help?
Read It
Transcribed Image Text:Find the domain of the function. 6x f(x) = x+ 6 all real numbers x such that x 2 6 all real numbers x such that x < 6 all real numbers x except x = -6 all real numbers x such that x S-6 all real numbers x such that x > -6 Discuss the behavior of f near any excluded x-values. O f(x) → 0 as x → -6, f(x) → 0 as x -6 O f(x) → -o as x -6 , (x) → -oo as x -6+ O f(x) → o as x →-6, f(x) → as x -6+ O (x) → ∞ as x -6 , f(x) → -o as x -6+ O (x) → -∞ as x -6, f(x) ∞ as x -6+ Need Help? Read It
Find the domain of the function.
4x
f(x)-
x- 1
all real numbers x such that x < 1
all real numnbers x such that x > 1
all real numbers x
all real numbers x except x = 0
all real numbers x except x = 1
Discuss the behavior of f near any excluded x-values.
O f(x)→ o as x 1, f(x) -o as x 1*
f(x) o as x →1, f(x) → o as x → 1*
->
O f(x) → -o as x 1, f(x) as x-→ 1+
O f(x) → 0 as x 1, f(x) - 0 as x→ 1+
O f(x)→ -o as x 1, f(x) -o as x 1
Need Help?
Read It
Transcribed Image Text:Find the domain of the function. 4x f(x)- x- 1 all real numbers x such that x < 1 all real numnbers x such that x > 1 all real numbers x all real numbers x except x = 0 all real numbers x except x = 1 Discuss the behavior of f near any excluded x-values. O f(x)→ o as x 1, f(x) -o as x 1* f(x) o as x →1, f(x) → o as x → 1* -> O f(x) → -o as x 1, f(x) as x-→ 1+ O f(x) → 0 as x 1, f(x) - 0 as x→ 1+ O f(x)→ -o as x 1, f(x) -o as x 1 Need Help? Read It
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Propositional Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning