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B If f(x) = 1x2+9, then which of the following statement(s) is/are correct? I. f(x) is continuous on the interval [ 1, 3] II. f(x) is not right continuous at  1 III. f(x) is continuous on the interval [ 4, 0] IV. f(x) is not left continuous at 0 B

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B Which of the following statements are correct for the function f(x) = x^{2}  3x  10 using the Intermediate Value Theorem? I. f(x) has a zero on [ 3,  1] II. f(x) has no zero on [4, 6] III. f(x) has no zero on [1, 0] IV. f(x) has no zero on [ 3,  1] B

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B Use Intermediate Value Theorem to choose the correct statement from the following for the function f(x) = 4x2+3xx1. I. f(x) has a zero on [ 12, 12] II. f(x) has no zero on [ 2, 1] III. f(x) has a zero on [2, 3] IV. f(x) has a zero on [3, 4] B

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B Use Intermediate Value Theorem to choose the correct statements from the following for the function f(x) = e^{2x}  2x. I. f(x) has a zero on [ 2,  1] II. f(x) has a zero on [0, 12] III. f(x) has no zero on [12, 1] IV. f(x) has no zero on [ 1, 0] B

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B Use Intermediate Value Theorem to choose the correct statements for the function f(x) = sin x. B

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B Use Intermediate Value Theorem to choose the correct statements from the following for the function f(x) =  x + ln(x^{2} + 1). I. f(x) has a zero on [ 1, 1] II. f(x) has no zero on [1, 2] III. f(x) has a zero on [ 2,  1] Iv. f(x) has a zero on [2, 3] B

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B Use Intermediate Value Theorem to choose the correct statements from the following for the function f(x) = 2x  25x2. I. f(x) has a zero on [2, 3] II. f(x) has no zero on [1, 2] III. f(x) has a zero on [3, 4] IV. f(x) has a zero on [ 3,  2] B

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B Use Intermediate Value Theorem to choose the correct statements from the following for the function f(x) =  2x + 3 . I. f(x) has a zero on [1, 2] II. f(x) has no zero on [ 3,  2] III. f(x) has no zero on [ 2,  1] IV. f(x) has a zero on [1, 0] B

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B Use Intermediate Value Theorem to choose the correct statements from the following for the function f(x) = 2xx2+4. I. f(x) has a zero on [ 1, 1] II. f(x) has no zero on [ 2,  1] III. f(x) has a zero on [1, 2] IV. f(x) has a zero on [ 3,  2] B

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B Use Intermediate Value Theorem to choose the correct statements for the function f(x) = sin 2x + cos 2x. B

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B By using Intermediate Value Theorem, choose the correct statements from the following for the function f(x) = 2xx2+5. I. f(x) has a zero on [ 12, 12] II. f(x) has a zero on [12, 1] III. f(x) has a zero on [1, 2] IV. f(x) has no zero on [ 2,  12] B

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B Which of the following statement(s) is/are correct for the function f(x) = cos x? I. f(x) is continuous on the interval [0, 4π] II. f(x) is continuous on the interval [  4π,  π2] III. f(x) is not right continuous at 0 IV. f(x) is not left continuous at  π2 B

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B If f(x) = x(x + 2) and g(x) = 9x2, then which of the following statement(s) is/are correct? I. f(x) is continuous on the interval [ 2, 2] II. g(x) is not right continuos at  3 III. f(x) is not left continuous at  2 IV. g(x) is continuous on the interval [ 3, 3] B

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B If f(x) = x^{2} + 2x + 3 and g(x) = ln (x  3), then which of the following statement(s) is/are correct? I. f(x) is continuous on the interval [0, 2] II. f(x) is not right continuous at 0 III. g(x) is not left continuous at 6 IV. g(x) is continuous on the interval (3, 6] B

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B Choose the correct statement about the continuity of the function. f(x) = 1(x1)(x2). B

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B Choose the correct statement about the continuity of the function. f(x) = x2+xx+1, x ≠  1 and f( 1) =  2 B

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B If f(x) = ex2+2 and g(x) = x3+2x2x2x+2, x ≠  2 and g( 2) = 1 then choose the correct statement(s): I. f(x) is not left continuous at 3 II. f(x) is continuous on the interval [0, 3] III. g(x) is continuous on the interval ( 2, 2] IV. g(x) is right continuous at  2 B

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B Choose the correct statement about the continuity of the function. g(x) = sin xx, x ≠ 0 and g(0) = 1 B

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B If f(x) = 2 + x where x ≤ 0 = 2 + 12 x^{2} where x > 0, then which of the following statement(s) is/are correct? I. f(x) is continuous on the interval [ 1, 4] II. f(x) is not right continuous at  1 III. f(x) is continuous on the interval [ 5,  3] IV. f(x) is not left continuous at  3 B

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B Choose the correct statement about the continuity of the function. f(x) = 1x+1, where x > 0 = x^{3} + 2, where x ≤ 0 B

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