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If f be a function defined as f(x) = p f...

If f be a function defined as f(x) = p for each `x in R`, where p is a real number, then f is called

A

Constant function

B

Identity function

C

Modulus function

D

Signum function

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The correct Answer is:
A
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AAKASH INSTITUTE-RELATIONS AND FUNCTIONS -Assignment (Section - A) Objective Type Questions (one option is correct)
  1. For a constant function f(x), given that f((1)/(2)) = 1/4. The value o...

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  2. Let f : R → R be a function defined by f ( x ) = 4 x − 3 ∀ x ∈ R . ...

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  3. If f be a function defined as f(x) = p for each x in R, where p is a r...

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  4. If f(x) and g(x) are polynomial functions of x, then domain of (f(x))/...

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  5. The function f(x) = x^(2) - 3x + 7 is an example of

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  6. If f(x) is a signum function, then f(10) is equal to

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  7. For a signum function f(x), the value of f(x) at x = -4 is

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  8. If f(x) is a greatest integer function, then f(-2. 5) is equal to

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  9. f(x) = x^(2) implies (f(1.5) - f(1))/(0.25)=?

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  10. Which of the following can represent a linear function for each x in R...

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  11. Let A be a finie set containing n distinct elements. The number of rel...

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  12. Let A be a finite set containing n distinct elements. The number of fu...

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  13. Let A and B infinite sets containing m and n elements respectively. Th...

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  14. Let A = {1, 2, 3}. Which of the following relations is a function from...

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  15. Let R1 and R2 be equivalence relations on a set A, then R1uuR2 may or ...

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  16. Let R be the relation defined on the set N of natural numbers by the r...

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  17. Let a = {a, b, c} and R = {(a, a), (b, b), (c, c), (b, c), (a, b)} be ...

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  18. Let A = {1, 2, 3} and R = {(1, 1), (2,2), (1, 2), (2, 1), (1,3)} then ...

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  19. Let A = {1, 2, 3}. Which of the following is not an equivalence relat...

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  20. Which of the following relation is a function ?

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