Determine if the function is continuous at the given poi 1 x: x + 2² x ²50 } at x = 0. > 1. f(x) = f(0) = 0² - 2 = -2 f(0) = 0+2 = 2 (x³ 2. f(x) = {2+² +4 * <²} {2} 2) (2x x 2) at x = 2. discon

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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Can you please help with a step by step of how to solve problem 1?
Determine if the function is continuous at the given point.
(x²-2 x≤ 0)
x + 2² x ² = 0} at x = 0.
> 0)
1. f(x) =
= {x²=₁
f(0) = 0²-2=-2
f(0) = 0+2 = 2
(x³
2. f(x) = { 2x + 4* <²}
{2}
2)
x 2)
at x = 2.
x-
discontinuou
Transcribed Image Text:Determine if the function is continuous at the given point. (x²-2 x≤ 0) x + 2² x ² = 0} at x = 0. > 0) 1. f(x) = = {x²=₁ f(0) = 0²-2=-2 f(0) = 0+2 = 2 (x³ 2. f(x) = { 2x + 4* <²} {2} 2) x 2) at x = 2. x- discontinuou
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