1. Determine if the following functions are continuous everywhere or not. a. f(x) = ln(x + 2) 5 b. g(x) x²-x-6 c. h(x) = cos² x + 1 = 2. Find all the value/s of k (if possible), to make the function (2x5+k(x+1)+16, m(x) = 3xk-x²+2k, continuous everywhere. if x>0 if x≤0
1. Determine if the following functions are continuous everywhere or not. a. f(x) = ln(x + 2) 5 b. g(x) x²-x-6 c. h(x) = cos² x + 1 = 2. Find all the value/s of k (if possible), to make the function (2x5+k(x+1)+16, m(x) = 3xk-x²+2k, continuous everywhere. if x>0 if x≤0
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...
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Considering the ideas in "Continuity of a Function on an Interval" answer the ff and show solution. Thank you!
![1. Determine if the following functions are continuous everywhere or not.
a. f(x) = ln(x + 2)
5
b. g(x):
x²-x-6
c. h(x) = cos²x + 1
=
2. Find all the value/s of k (if possible), to make the function
(2x5+k(x+1)+16,
m(x) =
3xk-x²+2k,
continuous everywhere.
if x>0
if x≤0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F673f821a-405d-4ff2-93d5-090b829a9c46%2F74558982-aebf-4c74-90c0-a8e107fb1fa5%2Fhy20pd4_processed.png&w=3840&q=75)
Transcribed Image Text:1. Determine if the following functions are continuous everywhere or not.
a. f(x) = ln(x + 2)
5
b. g(x):
x²-x-6
c. h(x) = cos²x + 1
=
2. Find all the value/s of k (if possible), to make the function
(2x5+k(x+1)+16,
m(x) =
3xk-x²+2k,
continuous everywhere.
if x>0
if x≤0
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