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The function f:R rarrR is defined by f(x...

The function `f:R rarrR` is defined by `f(x)=3^(-x)`. Observe the following statements
I. f is one - one
II. f is onto
III. F is a decreasing function
Out of these, true statements are :

A

only I, II

B

only II, III

C

only I, III

D

I, II, III

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The correct Answer is:
C
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AAKASH SERIES-FUNCTIONS -EXERCISE -II
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  2. What is a monotonic function?

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  7. If R is the set of all real numbers and if f: R -[2] to R is defined b...

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  8. Let Q be the set of all rational number in [0, 1] and f:[0, 1]rarr[0, ...

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  11. {x in R: x-[x] =5}=

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  12. The domain of f(x) =1/6sqrt(log(10)(5x-x^(2)) is

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  14. If f: N to W is such that f(n) = {{:(n/2, "if n is even"),(0,"if n is ...

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  17. If f(x) is a real function defined on [-1,1], then the function g(x) =...

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  18. If f:NtoR is defined by f(1) = - 1 and f(n+1) = 3f(n) + 2 for nge1, th...

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  19. The domain of the function f(x)=sqrt(log(0.5) X !)

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  20. If f(x)=|x-1|+|x-2|+|x-3|,2 lt x lt 3, then f is

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