14. Find the value of the constants (a, b, or c) that makes the following functions continuous: if x < -1 (b) f(x) = ax+b if-1 // (a) ƒ(0) = { x² - c -c if x < 5 if x > 5 4x + 2c

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
14. Find the value of the constants (a, b, or c) that makes the following functions continuous:
-1
if x < -1
ax+b if−1<x</
x-1
if x>1/1/2
(a) f(0)
=
x²_c
if x < 5
4x + 2c if x 5
(b) f(x)=
=
Transcribed Image Text:14. Find the value of the constants (a, b, or c) that makes the following functions continuous: -1 if x < -1 ax+b if−1<x</ x-1 if x>1/1/2 (a) f(0) = x²_c if x < 5 4x + 2c if x 5 (b) f(x)= =
Expert Solution
Step 1

Calculus homework question answer, step 1, image 1

steps

Step by step

Solved in 4 steps with 4 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