Quantum CAT Also Useful for XAT>Chapter 17 - SNAP>CMAT>Q 19

EASY

CAT

IMPORTANT

Earn 100

If $[x]$ is greatest integer function $(GIF)$ and ${x}$ is smallest integer function $(SIF),$ and $x \in R ~ I,$ then $[x] - {x}$ is equal to :

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Important Questions on Functions and Graphs

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 17 - SNAP>CMAT>Q 21

f (x) = \ln (x + \sqrt{x^{2} + 1})

is :

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 17 - SNAP>CMAT>Q 22

If a function

f

satisfies the conditions

f (x + y) = f (x) + f (y) \forall, x, y \in R

, then

f

is :

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 17 - SNAP>CMAT>Q 23

Which of the following function is an even function?

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 17 - SNAP>CMAT>Q 24

Which of the following function is odd?

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 17 - SNAP>CMAT>Q 26

If

f (x) = \sqrt[3]{(1 - x^{2})} + \sqrt[3]{(1 + x^{2})}

, then

f (x)

is:

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 17 - SNAP>CMAT>Q 27

Which of the following function is an odd function?

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 17 - SNAP>CMAT>Q 29

The graph of the function

y = f (x)

is symmetrical about the line

x = 2

, then :

MEDIUM

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 17 - SNAP>CMAT>Q 30

Given

f (x) = \frac{1}{(1 - x)}, g (x) = f (f (x))

, then the value of

f (x) \cdot g (x) \cdot h (x)

is :