Suppose we know the following information about the function f (x): f(-1) = -4, f(2.5) = 3, ƒ(m) = 2.4 and f (1) does not exist lim,-1- f (x) = -4 lim,-1+ f (x)= -4 lim,2.5* f (x)= -∞ lim, f (x) = 0 lim,_,8- ƒ (x) = 3 lim,8* f (x) = 3.01 What does this information tell us about the continuity of f (x) ? At z = -1, f(r) is/has a (Select] At z = 1, ƒ (x) is/has a (Select] At z = 2.5, ƒ (x) is/has a ( Select] At z = 7, f (x) is/has a ( Select] At x = 8, ƒ (x) is/has a (Select ] [ Select] jump discontinuity infinite discontinuity there is not enough information to tell anything discontinuous, but there is not enough information to tell which type removable discontinuity continuous

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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Suppose we know the following information about the function f (x):
f(-1) = -4, f (2.5) = 3, f(T) = 2.4 and f (1) does not exist
lim,-1- f (x) = -4
lim,
y→-1* ƒ (x) = -4
lim, 2.5+ f (x) = -0
lim,n f (x) = 0
lim,8- f (x) = 3
lim,8*
f (x) = 3.01
What does this information tell us about the continuity of f (x) ?
At a = -1, f (x) is/has a [ Select]
At r = 1, f (x) is/has a [Select]
At r = 2.5, f (x) is/has a [ Select]
At x = T, f (x) is/has a
[ Select ]
At r = 8, f (x) is/has a [Select]
[ Select ]
jump discontinuity
infinite discontinuity
there is not enough information to tell anything
discontinuous, but there is not enough information to tell which type
removable discontinuity
continuous
Ouestion 5
Transcribed Image Text:Suppose we know the following information about the function f (x): f(-1) = -4, f (2.5) = 3, f(T) = 2.4 and f (1) does not exist lim,-1- f (x) = -4 lim, y→-1* ƒ (x) = -4 lim, 2.5+ f (x) = -0 lim,n f (x) = 0 lim,8- f (x) = 3 lim,8* f (x) = 3.01 What does this information tell us about the continuity of f (x) ? At a = -1, f (x) is/has a [ Select] At r = 1, f (x) is/has a [Select] At r = 2.5, f (x) is/has a [ Select] At x = T, f (x) is/has a [ Select ] At r = 8, f (x) is/has a [Select] [ Select ] jump discontinuity infinite discontinuity there is not enough information to tell anything discontinuous, but there is not enough information to tell which type removable discontinuity continuous Ouestion 5
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