15. Vlad and Karl discuss about the continuity of the given function. Vlad asserts that the function is continuous at x=-1 while Karl claims it is not. Who among the two is correct? * 1 -, x< -1 f(x) = { 2 — 2, х> —1 О Karl O Vlad O Both of them O None of them

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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15. Vlad and Karl discuss about
the continuity of the given
function. Vlad asserts that the
function is continuous at x=-1
while Karl claims it is not. Who
among the two is correct? *
1
-, x< -1
< -1
f(x) =
2 – 2, x > -1
O Karl
O Vlad
O Both of them
None of them
Transcribed Image Text:15. Vlad and Karl discuss about the continuity of the given function. Vlad asserts that the function is continuous at x=-1 while Karl claims it is not. Who among the two is correct? * 1 -, x< -1 < -1 f(x) = 2 – 2, x > -1 O Karl O Vlad O Both of them None of them
The function h(x) = x³ – 4x² + 5x – 2 is continuous everywhere.
Which of the following is/are TRUE about h(x) at x = a?
I.
lim h(x) exists
II.
h(a) exists
II.
lim h(x) = h(a)
O I only
Il only
O I and II
and II
Transcribed Image Text:The function h(x) = x³ – 4x² + 5x – 2 is continuous everywhere. Which of the following is/are TRUE about h(x) at x = a? I. lim h(x) exists II. h(a) exists II. lim h(x) = h(a) O I only Il only O I and II and II
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