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The function f : R -> R is defined by f ...

The function `f : R -> R` is defined by `f (x) = (x-1) (x-2) (x-3)` is

A

one-one but not onto

B

onto but not one-one

C

both one-one and onto

D

neither one-one nor onto

Text Solution

Verified by Experts

The correct Answer is:
B
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QUANTUM CAT-FUNCTIONS AND GRAPHS-QUESTION BANK
  1. Let A=R-{3},B=R-{1}, and let f: AvecB be defined by f(x)=(x-2)/(x-3) i...

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

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  3. The function f : R -> R is defined by f (x) = (x-1) (x-2) (x-3) is

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  4. If the function f: R->R be such that f(x) = x-[x], where [x] denotes t...

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  5. If f(x)=x^2+2 then f^-1(x) is :

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  6. If f(x)=5^(x), then f^(-1)(x) is :

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  7. If f(x)=(x)/(x+1), then f^(-1)(x) is :

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  8. If f(x)=(x-1)/(x+1), then f^(-1)(x) is :

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  9. The average weight of a group of 53 girls was calculated as 58 kgs. It...

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  10. If f(x) is a one to one function, where f(x)=x^(2)-x+1, then find the ...

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  11. What is the value of f '' ( x ): if f ( x ) = 3 x^ 2 - 7 x - 5

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  12. P(A, B)=AxxB,S(A,B)=A-B,D(A,B)=A+B D(P(3, 5), S(5, 3)) is equal to :

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  13. P(A, B)=AxxB,S(A,B)=A-B,D(A,B)=A+B P(S(D(7, 3), P(2, 3)), P(6, 5))) ...

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  14. For every a, b in N a" @ "b=a^(2)" when "(a+b)" is even" =a^(2)-b^...

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  15. What is the average of all two digit natural numbers?

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  16. If p^(2) + q ^(2) = 7 pq, then the value of (p)/(q) + (q)/(p) is equal...

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  17. If M(a, b)=a^(2)+b^(2)+ab,N(a, b)=a^(2)+b^(2)-ab. Find the value of M(...

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  18. If f(x)=x^(3)-x^(2), then f(x+1) is :

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  19. Find the value of [(5cup4)veevee(2cupcupcup3)]cup(8vee3):

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  20. Which of the following is true?

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