At x = 3/2 the function f ( x) = | 2x -3 | / 2x
-3 is

**A. ** continuous

**B. ** discontinuous

**C. ** differentiable

**D. ** non-zero

**Answer : ****Option B**

**Explaination / Solution: **

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Let f : R→R be defined by f (x) = then *f* is

**A. ** discontinuous at x = 1/2

**B. ** continuous at x = 1/2

**C. ** continuous everywhere

**D. ** discontinuous everywhere

**Answer : ****Option B**

**Explaination / Solution: **

No Explaination.

No Explaination.

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The function is not defined for x =
−1 . The value of *f* (−1) so that the function
extended by this value is continuous is

**A. ** 2/3

**B. ** −2/3

**C. ** 1

**D. ** 0

**Answer : ****Option B**

**Explaination / Solution: **

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Let f be a continuous function on [2, 5]. If *f* takes only rational values for all x
and *f* (3) = 12, then *f*(4.5) is equal to

**A. ** [*f* (3)
+ *f* (4.5)] / 7.5

**B. ** 12

**C. ** 17.5

**D. ** [*f*
(4.5) − *f* (3)] / 1.5

**Answer : ****Option B**

**Explaination / Solution: **

* ** f* is a constant function

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Let a function *f* be defined by *f* (x) =
x−|x| / *x* for x ≠ 0 and *f* (0) = 2
. Then *f* is x

**A. ** continuous nowhere

**B. ** continuous everywhere

**C. ** continuous for all x except x = 1

**D. ** continuous for all x except x = 0

**Answer : ****Option D**

**Explaination / Solution: **

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No Explaination.

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is

**A. ** e^{4}

**B. ** e^{2}

**C. ** e^{3}

**D. ** 1

**Answer : ****Option A**

**Explaination / Solution: **

No Explaination.

No Explaination.

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