Mathematics Standard 11 Vol I>Chapter 1 - Sets, Relations and Functions>Exercise>Q 18

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11th Tamil Nadu Board

IMPORTANT

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The number of constant functions from a set containing $m$ elements to a set containing $n$ elements is

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Important Questions on Sets, Relations and Functions

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11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 1 - Sets, Relations and Functions>Exercise>Q 19

The function

f : [0, 2 π] \to [- 1, 1]

defined by

f (x) = \sin x

is

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11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 1 - Sets, Relations and Functions>Exercise>Q 20

If the function

f : [- 3, 3] \to S

defined by

f (x) = x^{2}

is onto, then

S

is

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11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 1 - Sets, Relations and Functions>Exercise>Q 21

Let

X = {1, 2, 3, 4}, Y = {a, b, c, d}

and

f = {(1, a), (4, b), (2, c), (3, d), (2, d)} .

Then

f

is

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11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 1 - Sets, Relations and Functions>Exercise>Q 22

The inverse of

f (x) = \{\begin{cases} x & if x < 1 \\ x^{2} & if 1 \leq x \leq 4 \\ 8 \sqrt{x} & if x > 4 \end{cases}

is

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11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 1 - Sets, Relations and Functions>Exercise>Q 23

Let

f : R \to R

be defined by

f (x) = 1 - | x |

. Then the range of

f

is

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11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 1 - Sets, Relations and Functions>Exercise>Q 24

The function

f : R \to R

is defined by

f (x) = \sin x + \cos x

is

HARD

11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 1 - Sets, Relations and Functions>Exercise>Q 25

The function

f : R \to R

defined by

f (x) = \frac{(x^{2} + \cos x) (1 + x^{4})}{(x - \sin x) (2 x - x^{3})} + e^{- | x |}

is