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Let f:R-R be defined as f(x) = x^4, then...

Let `f:R-R` be defined as `f(x) = x^4`, then (a) f is one-one (b) f is many-one onto (c) f is one-one but not onto (d) f is neither one-one nor onto

A

one-one and onto

B

onto but not one-one

C

one-one but not onto

D

neither one-one nor onto

Text Solution

Verified by Experts

The correct Answer is:
D
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ARIHANT MATHS-FUNCTIONS-Exercise (Questions Asked In Previous 13 Years Exam)
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  3. Let f:R-R be defined as f(x) = x^4, then (a) f is one-one (b) f is man...

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  7. If X and Y are two non-empty sets where f: X->Y,is function is define...

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  13. If f:R to R be defined by f(x) =2x+sinx for x in R, then check the na...

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  14. Let E={1,2,3,4} and F={1,2}dot If N is the number of onto functions fr...

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  15. Suppose f(x)=(x+1)^(2) " for " x ge -1. If g(x) is the function whos...

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  16. If F :[1,oo)->[2,oo) is given by f(x)=x+1/x ,t h e n \ f^(-1)(x) equal...

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  18. Find the domain of the following functions. f(x)=(log(2)(x+3))/((x^(...

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  19. Let f(x)=(alphax)/((x+1)),x!=-1. The for what value of alpha is f(f(x)...

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