If a function, f, is continuous at a number a, then (select all statements that must be true.) Of(a) is defined f(x) > 0 f(x) must be a polynomial lim x->a f(x) exists lim x->a f(x) =f(a) The limit from the left and the limit from the right may be different. The Intermediate Value Theorem doest no apply.
If a function, f, is continuous at a number a, then (select all statements that must be true.) Of(a) is defined f(x) > 0 f(x) must be a polynomial lim x->a f(x) exists lim x->a f(x) =f(a) The limit from the left and the limit from the right may be different. The Intermediate Value Theorem doest no apply.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 6CR
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![Question 6
If a function, f, is continuous at a number a, then
(select all statements that must be true.)
f(a) is defined
f(x) > 0
f(x) must be a polynomial
lim x->a f(x) exists
lim x->a f(x) =f(a)
The limit from the left and the limit from the right may be different.
The Intermediate Value Theorem doest no apply.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F92b3472e-ab59-40f2-b296-ac3727a4d9f3%2F526b39d6-f2c4-4841-b538-2807bcdfc18d%2Fni248oj_processed.png&w=3840&q=75)
Transcribed Image Text:Question 6
If a function, f, is continuous at a number a, then
(select all statements that must be true.)
f(a) is defined
f(x) > 0
f(x) must be a polynomial
lim x->a f(x) exists
lim x->a f(x) =f(a)
The limit from the left and the limit from the right may be different.
The Intermediate Value Theorem doest no apply.
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