Beta Question Bank for Engineering: Mathematics>Chapter 25 - Functions>EXERCISE-2>Q 14

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The graph of $ϕ (x)$ is given then the number of positive solution of $||ϕ (x)| - 1| = 1$ are-

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Important Questions on Functions

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Beta Question Bank for Engineering: Mathematics>Chapter 25 - Functions>EXERCISE-2>Q 15

Given the function

f (x)

such that

2 f (x) + x f (\frac{1}{x}) - 2 f (|\sqrt{2} \sin π (x + \frac{1}{4})|) = 4 \cos^{2} \frac{π x}{2} + x \cos \frac{π}{x},

then which one of the following is correct?

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Beta Question Bank for Engineering: Mathematics>Chapter 25 - Functions>EXERCISE-2>Q 16

If

f (x + a y, x - a y) = a x y

then

f (x, y)

is equal to-

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Beta Question Bank for Engineering: Mathematics>Chapter 25 - Functions>EXERCISE-2>Q 17

The range of the function

f (x) = \sin [\log (\frac{\sqrt{4 - x^{2}}}{1 - x})]

is-

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Beta Question Bank for Engineering: Mathematics>Chapter 25 - Functions>EXERCISE-2>Q 18

Which of the following pairs of functions are identical ?

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Beta Question Bank for Engineering: Mathematics>Chapter 25 - Functions>EXERCISE-2>Q 19

Which of the functions defined below are NOT one-one function(s) ?

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Beta Question Bank for Engineering: Mathematics>Chapter 25 - Functions>EXERCISE-2>Q 20

Which of the functions are even-

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Beta Question Bank for Engineering: Mathematics>Chapter 25 - Functions>EXERCISE-2>Q 21

Which of the functions are periodic?

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Beta Question Bank for Engineering: Mathematics>Chapter 25 - Functions>EXERCISE-2>Q 22

Which of the following functions from

Z

to itself are NOT bijections?