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The graph below is the function f(x) -5 -4 -3 -2 -1 lim 11 lim #→-1+ 54 4 3 2 |-1 -2 N -3 4 -5- f(x) = lim f(x) HI-1 f(x) = = 1 2 3 4 5 f(-1) = Is f(x) continous at x = - 1? ?

The graph below is the function f(x) -5 -4 -3 -2 -1 lim 11 lim #→-1+ 54 4 3 2 |-1 -2 N -3 4 -5- f(x) = lim f(x) HI-1 f(x) = = 1 2 3 4 5 f(-1) = Is f(x) continous at x = - 1? ?

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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The graph below is the function f(x) lim I-1 5 4 3 22 -5 -4 -3 -2 -1 lim →11+ O -1 -2 -3 4 f(x) = f(x) = 2 lim →11 f(-1) = Is f(x) continous at a ? f(x) = 3 4 1?
Transcribed Image Text:The graph below is the function f(x) lim I-1 5 4 3 22 -5 -4 -3 -2 -1 lim →11+ O -1 -2 -3 4 f(x) = f(x) = 2 lim →11 f(-1) = Is f(x) continous at a ? f(x) = 3 4 1?
Expert Solution
Step 1

Given the graph of a function.

The objective is to find,

(a) limx→-1-f(x)=

(b) limx→-1+f(x)=

(c) limx→-1f(x)=

(d) f(-1)=

(e) Is f(x) continuous at x=-1?

Note:

(1) limx→c-f(x) : The limit of fx as x approaches c from left side is the left-hand limit of f at c.

(2) limx→c+f(x) : The limit of fx as x approaches c from right side is the right-hand limit of f at c.

(3) A hole is a point on the graph where the value of the function is not defined.

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