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The function f : (-oo, 3] to (o,e ^(7)] ...

The function `f : (-oo, 3] to (o,e ^(7)]` defined by `f (x)=e ^(x^(3)-3x^(2) -9x+2)` is

A

many one and onto

B

many one and into

C

one one and onto

D

one one and into

Text Solution

Verified by Experts

The correct Answer is:
D
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MOTION-FUNCTION-Exercise - 1 ( JEE Main)
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  7. If the function / satisfies the relation f(x+y)+f(x-y)=2f(x),f(y)AAx ,...

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  11. Let f(x)=x(2-x), 0<=x<=2. If the definition of f is extended over the ...

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  15. If f(x) = a(x^n +3), f(1) = 12, f(3) = 36, then f(2) is equal to

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  16. Let f:(2,4)->(1,3) be a function defined by f(x)=x-[x/2], thenf^(-1)(x...

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  18. A function f : R->R satisfies the condition x^2f(x)+f(1-x)=2x-x^4. The...

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  19. Let f(x) = abs(x – 1). Then :

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  20. Let g(x) = 1 + x – [x] and f(x)={:{(-1,if,xlt0),(0,if, x=0),(1,if,x gt...

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