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f If h(x) = 2x2+2x + 1 and g(x) = 2x + 3, then which of the following are correct?
I. h(x) is continuous for all real values of x
II. g(x) is not continuous at x = - 32
III. (h o g)(x) is continuous for all real values of x
IV. (g o h)(x) is not continuous at x = - 3 f |
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f If h(x) = 2x2-3x, g(x) = 2x - 1, then which of the following are correct?
I. h(x) is continuous for all real values of x
II. g(x) is not continuous at x = 12
III. (h o g)(x) is continuous for all real values of x
IV. (g o h)(x) is not continuous at x = 12 f |
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f If h(x) = x2+1 and g(x) = 2x, then which of the following are correct?
I. h(x) is continuous for all real values of x
II. g(x) is not continuous at x = 0
III. (h o g)(x) is not continuous at x = 0
IV. (g o h)(x) is continuous for all real values of x f |
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f If h(x) = x and g(x) = xx+1, then which of the following is /are correct?
I. h(x) is continuous for all real values of x
II. g(x) is continuous for all real values of x
III. (h o g)(x) is continuous at x = - 1
IV. (g o h)(x) is continuous at x = - 1 f |
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f If h(x) = 2x + 3 and g(x) = x5, then which of the following are correct?
I. h(x) is not continuous at x = - 32
II. g(x) is continuous for all real values of x
III. (h o g)(x) is not continuous at x = - 32
IV. (g o h)(x) is continuous for all real values of x f |
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f If h(x) = x + 1 and g(x) = 2-xx2, then which of the following is/are correct?
I. h(x) is not continuous at x = - 1
II. g(x) is continuous at x = 0
III. (h o g)(x) is not continuous at x = 0
IV. (g o h)(x) is continuous at x = - 1
f |
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f For the function f(x) = 2x + c for x ≤ 1,
= x2 + 3 for x > 1, find the value of c which makes the function continuous. f |
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f If h(x) = x - 1 and g(x) = 11 -x2, then which of the following are correct?
I. h(x) is continuous for all real values of x
II. g(x) is continuous for all x in (- 1, 1)
III. (h o g)(x) is continuous at x = 1
IV. (g o h)(x) is continuous at x = 0
f |
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f Choose the correct statement for the function,
f(x) = x - 5 for x ≤ 1
= 4x2 - 9 for 1 < x < 2
= 2x + 1 for x ≥ 2
f |
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f If h(x) = 1x-3 and g(x) = x2 - 9, then which of the following is/are correct?
I. h(x) is continuous for all real values of x.
II. g(x) is continuous for all real values of x.
III. (h o g)(x) is continuous for all x in [- 23, 23].
IV. (g o h)(x) is continuous at x = 3. f |
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f For the function f(x) = cos (cx) for x < 1,
= x2 - 1 for x ≥ 1, find the value(s) of c that makes the function continuous. f |
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f Find the value of k for which the function,
f(x) = e3x + k for x ≥ 0,
= 2x + 1 for x < 0 is continuous. f |
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f If f is given by f(x) = 6 for x < 1,
= (2x - 5)(x + 3) for x ≥ 1, then which of the following statements is true?
f |
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f Which of the following statements is true for the function,
f(x) = x for x < 0,
= 1x2+4 for x ≥ 0? f |
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f For the function f(x) = | 2x - c | for x < - 3,
= 2 - x2 for x ≥ - 3, find the value of c which makes the function continuous. f |
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f Find the values of a and b for the function to be continuous.
f(x) = 2 for x ≤ 1
= - ax2 + b for 1 < x < 2
= 8 for x ≥ 2
f |
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f For the function f(x) = (2x+c) for x < 2,
= x2 - 4 for x ≥ 2, find the value of c which makes the function continuous. f |
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f If h(x) = - x - ex and g(x) = 2x, then which of the following is/are correct?
I. h(x) is continuous for all real values of x
II. g(x) is not continuous at x = 0
III. (h o g)(x) is continuous for all real values of x
IV. (g o h)(x) is not continuous at x = 0
f |
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f If h(x) = cos x and g(x) = ln (x2+1), then which of the following are correct?
I. h(x) is continuous for all real values of x
II. g(x) is not continuous at x = - 1
III. (h o g)(x) is continuous for all real values of x
IV. (g o h)(x) is continuous all real values of x f |
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f If h(x) = x2 + sin x and g(x) = e2x + 3, then which of the following is/are correct?
I. h(x) is continuous for all real values of x
II. g(x) is not continuous at x = - 32
III. (h o g)(x) is continuous for all real values of x
IV. (g o h)(x) is continuous for all real values of x
f |
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f If h(x) = 1x2-1 and g(x) = 2x - 3, then which of the following is/are correct?
I. h(x) is continuous for all real values of x
II. g(x) is continuous for all real values of x
III. (h o g)(x) is continuous at x = 1, 2
IV. (g o h)(x) is not continuous at x = - 1, 1 f |
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f If h(x) = | x | and g(x) = sin x, then which of the following is/are correct?
I. h(x) is not continuous at x = 0
II. g(x) is continuous for all real values of x
III. (h o g)(x) is continuous for all real values of x
IV. (g o h)(x) is continuous for all real values of x
f |
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f If f(x) = 2x2 + 1, g(x) = 11+x and h(x) = | sin x |, then which of the following are correct?
I. f(x) is continuous for all real values of x
II. (g o h)(x) is continuous for all real values of x
III. h(x) is continuous for all real values of x
IV. (f o g)(x) is continuous at x = - 1
f |
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f Choose the wrong statement(s) for the functions.
f(x) = 2x - 3, g(x) = 1ln x and h(x) = ex
I. g(x) is continuous for all real values of x
II. (f o g)(x) is continuous at x = 1
III. (g o h)(x) is not continuous at x = 0
IV. (h o f)(x) is not continuous at x f |
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| f Which of the following is correct for the function f(x) from the graph? f |
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