MATHEMATICS CLASS XII VOLUME-1>Chapter 17 - Increasing and Decreasing Functions>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 13

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12th CBSE

IMPORTANT

Earn 100

State whether $f (x) = \tan x - x$ is increasing or decreasing its domain.

Important Questions on Increasing and Decreasing Functions

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 17 - Increasing and Decreasing Functions>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 14

Write the set of values of

a

for which

f (x) = \cos x + a^{2} x + b

is strictly increasing on

R

.

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 17 - Increasing and Decreasing Functions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 1

The interval of increase of the function

f (x) = x - e^{x} + \tan (\sqrt{\frac{2 π}{7}})

is

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 17 - Increasing and Decreasing Functions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 2

The function

f (x) = c o t^{- 1} x + x

increases in the interval

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 17 - Increasing and Decreasing Functions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 3

The function

f (x) = x^{x}

decreases on the interval

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 17 - Increasing and Decreasing Functions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 4

The function

f (x) = 2 \log (x - 2) - x^{2} + 4 x + 1

increases on the interval

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 17 - Increasing and Decreasing Functions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 5

If the function

f (x) = 2 x^{2} - k x + 5

is increasing on

[1, 2]

, then k lies in the interval

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 17 - Increasing and Decreasing Functions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 6

Let

f (x) = x^{3} + a x^{2} + b x + 5 \sin^{2} x

be an increasing function on

R

. Then,

a

and

b

satisfy

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 17 - Increasing and Decreasing Functions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 7

The function

f (x) = \log_{e} (x^{3} + \sqrt{x^{6} + 1})

is of following types: