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Suppose that the piecewise function f is defined by Determine which of the following statements are true. Select the correct answer below: Of(x) is not continuous at x = 4 because it is not defined at x = 4. ƒ(4) exists, but f(x) is not continuous at x = 4 because limf(x) does not exist. x-4 f(4) and lim f(x) both exist, but f(x) is not continuous at x = 4 because limf(x) ‡ fƒ(4). x-4 Of(x) is continuous at x = 4. 1, f(x) = { √x + + ²5x −4+ √5₁ x>4 -1 < x≤4

Suppose that the piecewise function f is defined by Determine which of the following statements are true. Select the correct answer below: Of(x) is not continuous at x = 4 because it is not defined at x = 4. ƒ(4) exists, but f(x) is not continuous at x = 4 because limf(x) does not exist. x-4 f(4) and lim f(x) both exist, but f(x) is not continuous at x = 4 because limf(x) ‡ fƒ(4). x-4 Of(x) is continuous at x = 4. 1, f(x) = { √x + + ²5x −4+ √5₁ x>4 -1 < x≤4

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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Suppose that the piecewise function f is defined by 1, f(x) = {√x++ 5x − 4 + √5, Determine which of the following statements are true. Select the correct answer below: O f(x) is not continuous at x = 4 because it is not defined at x = 4. ○ ƒ(4) exists, but f(x) is not continuous at x = 4 because lim f(x) does not exist. x→4 ○ ƒ(4) and lim f(x) both exist, but f(x) is not continuous at x = 4 because lim f(x) ‡ƒ(4). x→4 O f(x) is continuous at x = 4. Dex -1 < x≤ 4 x > 4
Transcribed Image Text:Suppose that the piecewise function f is defined by 1, f(x) = {√x++ 5x − 4 + √5, Determine which of the following statements are true. Select the correct answer below: O f(x) is not continuous at x = 4 because it is not defined at x = 4. ○ ƒ(4) exists, but f(x) is not continuous at x = 4 because lim f(x) does not exist. x→4 ○ ƒ(4) and lim f(x) both exist, but f(x) is not continuous at x = 4 because lim f(x) ‡ƒ(4). x→4 O f(x) is continuous at x = 4. Dex -1 < x≤ 4 x > 4
The graph of f(x) is shown below. Which of the following statements are true? -7 -6 -4 -3 -2 Select the correct answer below: O f(x) has a removable discontinuity at x = 0. O f(x) has a jump discontinuity at x = 0. O f(x) has an infinite discontinuity at x = 0. O f(x) is continuous at x = 0. 20 7 6 5 4 N 1 -1 0 -1 -2 -3 -5 -6 -7 1 2 4 5 6 + I
Transcribed Image Text:The graph of f(x) is shown below. Which of the following statements are true? -7 -6 -4 -3 -2 Select the correct answer below: O f(x) has a removable discontinuity at x = 0. O f(x) has a jump discontinuity at x = 0. O f(x) has an infinite discontinuity at x = 0. O f(x) is continuous at x = 0. 20 7 6 5 4 N 1 -1 0 -1 -2 -3 -5 -6 -7 1 2 4 5 6 + I
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