Consider the following function and answer the following questions. f(x)=7x−1x If the graph appears to have a continuous extension to x=0, find a good candidate for the extended function's value at x=0. If the function does not appear to have a continuous extension, can it be extended to be continuous at x=0 from the right or left? If so, what should the extended function's value(s) be? Select the correct choice below and, if necessary, fill in the answer box within your choice.
Consider the following function and answer the following questions. f(x)=7x−1x If the graph appears to have a continuous extension to x=0, find a good candidate for the extended function's value at x=0. If the function does not appear to have a continuous extension, can it be extended to be continuous at x=0 from the right or left? If so, what should the extended function's value(s) be? Select the correct choice below and, if necessary, fill in the answer box within your choice.
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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Question
Consider the following function and answer the following questions.
f(x)=7x−1x
If the graph appears to have a continuous extension to x=0,
find a good candidate for the extended function's value at
find a good candidate for the extended function's value at
x=0. If the function does not appear to have a continuous extension, can it be extended to be continuous at x=0 from the right or left? If so, what should the extended function's value(s) be? Select the correct choice below and, if necessary, fill in the answer box within your choice.
Transcribed Image Text:A.
Transcribed Image Text:O A. The function cannot be extended to be continuous at x = 0. It can be extended to be continuous at x = 0 only from the left, if f(0) ~
O B. The function cannot be extended to be continuous at x = 0. Also, it cannot be extended to be continuous at x = 0 from the right or from the left.
O C. The function cannot be extended to be continuous at x = 0. It can be extended to be continuous at x = 0 only from the right, if f(0)
%D
O D. The function can be extended. The extended function's value at x = 0 is f(0) 2
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