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f and h are from A into B where A={a, b,...

f and h are from A into B where `A={a, b, c, d}, B={s, t, u}` defined as `f(a)=t, f(b)=s, f(c)=s, f(d)=u, h(a)=s, h(b)=t, h(c)=s, h(a)=u, h(d)=u`. Which one of the following statement is true

A

f and h are functions

B

f is a function and h is not a function

C

f and h are not functions

D

f is not a function and h is a function

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DIPTI PUBLICATION ( AP EAMET)-FUNCTIONS-EXERCISE 1A(FUNCTIONS)
  1. If A={a, b, c}, B={x, y}, f={(a, x), (b, y), (c, x)} then f is ………… ma...

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  2. A={a, b, c}, B={2, 1, 0}, f={(a, 2), (b, 0), (c, 2)}. Then f is

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  3. f and h are from A into B where A={a, b, c, d}, B={s, t, u} defined as...

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  4. Define f:Z rarrZ by f(x)={{:(x//2,"(x is even)"),(0,"(x is odd)"):} th...

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  5. The function f:NrarrZ defined by f(n)=(n-1)/(2) when n is odd and f(n)...

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  6. If f:R rarr(0, 1] is defined by f(x)=(1)/(x^(2)+1), then f is

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  7. f: R^(+) to R defined by f(x) =2^(x) , x in (0,1), f(x) =3^(x), x in [...

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  8. If f(x)=|x-1|+|x-2|+|x-3| when 2 lt x lt 3 is

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  9. f:R rarrR defined by f(x)=e^(|x|) is

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  10. If RR rarrC is defined by f(x)=e^(2ix)" for x in RR then, f is (where ...

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  11. f(x)=(2^(|x|))/(sinx) is

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  12. If f(x)=(a^(2x)-a^(-2x))/(a^(2x)+a^(-2x)), then f(x) is

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  13. x((a^(x)+1)/(a^(x)-1))

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  14. x^(2)((a^(2x)+1)/(a^(2x)-1))

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  15. Which of the following is an even function

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  16. Which of the following is an odd function

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  17. f(x) is an odd polynomial function. Then cos [f(x)] is

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  18. Determine whether the function f(x) = log(x+sqrt(x^(2)+1)) is even or ...

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  19. (log(x+sqrt(x^(2)+1)))/(x) is

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  20. If f(x)=(cosx+ sinx)/(tanx+cotx) then function f(x) is

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