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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
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
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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