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Find out whether the given function is e...

Find out whether the given function is even, odd or neither even nor odd
`" where " f(x)={{:(xabs(x),",",x le -1),([1+x]+[1-x],",",-1 lt x lt 1),(-xabs(x),",",x ge 1 ):}`
where `||` and [] represent then modulus and greater integer functions.

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The correct Answer is:
even
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MOTION-FUNCTION-Exercise - 3
  1. Examine whether the function are even or odd or none. f(x) = (sec x...

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  2. The function f(x) = sqrt(1+x+x^2) - sqrt(1- x + x^2) is

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  3. Find out whether the given function is even, odd or neither even nor o...

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  4. If f(x)=(2x(sinx+tanx))/(2[(x+2pi)/(pi)]-3) then it is (where [.] deno...

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  5. If f(x) = [{:( x^(2) + sin x , 0 le x lt 1) , (x + e^(-x) , x ge 1):} ...

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  6. Prove that the function defined as, F(x) = {e^(-sqrt(|ln{x}|)) - {x}^(...

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  7. Let a and b be real numbers and let f(x)=a sin x+b root(3)(x)+4,AA x i...

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  8. Find the period of the functions (where [ * ] denotes greatest intege...

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  9. Find the period of the functions (where [ * ] denotes greatest intege...

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  10. Find the period of the functions (where [ * ] denotes greatest intege...

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  11. Find the period of the functions (where [ * ] denotes greatest intege...

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  12. Find the period of the function [sin 3x]+|cos 6x|, where [.] denotes t...

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  13. Find the period of the functions (where [ * ] denotes greatest intege...

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  14. Find the period of the functions (where [ * ] denotes greatest intege...

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  15. Find the period of the functions (where [ * ] denotes greatest intege...

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  16. 1-(sin^2x)/(1+cotx)-(cos^2x)/(1+tanx)=sinxcosx

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  17. Find the period of the function f(x) = log (2 + cos 3x)

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  18. Find the period of the function f(x) = tan""(pi)/(2) [x]. Where [*]...

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  19. Find the period (if periodic) of the following function ([.] denotes ...

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  20. Find the conjugate of 1/(3-5i)

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