Given the function f(x) = continuous? Select one: a. -I b. T ⒸC. 2T X d. -2π sin4x, x≤ π 2π+k, x> π What value of k will make this piecewise function

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
Given the function f(x) =
continuous?
Select one:
a.
- I
C.
b. IT
K
2 TT X
d. -2л
sin4x, x≤ π
2π+k, x> π
What value of k will make this piecewise function
Transcribed Image Text:Given the function f(x) = continuous? Select one: a. - I C. b. IT K 2 TT X d. -2л sin4x, x≤ π 2π+k, x> π What value of k will make this piecewise function
Expert Solution
Step 1: Concept of Continuity

Concept Of Continuity states that , If a function f( x ) is continuous at a then 

limit as x rightwards arrow a to the power of minus of f left parenthesis space x space right parenthesis space equals space limit as x rightwards arrow a of f left parenthesis space x space right parenthesis space equals space limit as x rightwards arrow a to the power of plus of f left parenthesis space x space right parenthesis space

steps

Step by step

Solved in 3 steps with 5 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