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Which of the following can represent a l...

Which of the following can represent a linear function for each `x in R` ?

A

`f(x) = x^(2) + 5`

B

`f(x) = (1)/(x^(2))`

C

`f(x) = mx + c, m != 0`

D

`f(x) = x^(3) + 3x^(2) +2`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH INSTITUTE-RELATIONS AND FUNCTIONS -Assignment (Section - A) Objective Type Questions (one option is correct)
  1. If f(x) is a greatest integer function, then f(-2. 5) is equal to

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

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

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

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

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

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

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

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

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

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

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

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  13. Which of the following relation is a function ?

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  14. Let A = {1, 2, 3} and B = {2, 3, 4}, then which of the following is a ...

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  15. The function f: NvecN(N is the set of natural numbers) defined by f(n)...

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  16. Let f : R rarr R be defined by f(x) = x^(2) - 3x + 4 for all x in R, t...

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  17. If f is a function form a set A to A, then f is invertible iff f is

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  18. Let f : R rarr R, g : R rarr R be two functions given by f(x) = 2x - 3...

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  19. Set A has 3 elements and set B has 4 elements. The number of injection...

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  20. The number of Surjections from A = {1, 2, ....4}, n ge 2, onto B = {a,...

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