For the given piece-wise function g(x) x+2, *<4 -², -4≤x<4 4-x, *>4 0(x) = {√16 = Which of the following statements is true? O a. The function g(x) is dicontinuous at both - 4 and 4 O b. The function g(x) is continuous at both - 4 and 4 O c. The function g(x) is continuous at - 4 and is discontinuous at 4 Od. The function g(x) is discontinuous at - 4 and continuous at 4

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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 15
For the given piece-wise function g(x)
x+2, *<-4
06) = √16-x²¹, -4≤x<4
4-x,
*>4
Which of the following statements is true?
O a. The function g(x) is dicontinuous at both - 4 and 4
O b. The function g(x) is continuous at both - 4 and 4
O c. The function g(x) is continuous at - 4 and is discontinuous at 4
O d. The function g(x) is discontinuous at - 4 and continuous at 4
4
Transcribed Image Text:Question 15 For the given piece-wise function g(x) x+2, *<-4 06) = √16-x²¹, -4≤x<4 4-x, *>4 Which of the following statements is true? O a. The function g(x) is dicontinuous at both - 4 and 4 O b. The function g(x) is continuous at both - 4 and 4 O c. The function g(x) is continuous at - 4 and is discontinuous at 4 O d. The function g(x) is discontinuous at - 4 and continuous at 4 4
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