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Let R be the set of real numbers and let...

Let R be the set of real numbers and let `f:RtoR` be a function such that `f(x)=(x^(2))/(1+x^(2))`. What is the range of f?

A

R

B

`R-{1}`

C

[0,1]

D

[0,1)

Text Solution

Verified by Experts

The correct Answer is:
D
`:'f(x)=(x^(2))/(1+x^(2))`
Since, numerator `lt` denominator `f(x)lt0` for all value of x (negative or positive) and `f(x)=0" for "x=0`
So, range of is [0,1).
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  • Let f:R to R be a function defined by f(x)=(x^(2)-8)/(x^(2)+2) . Then f is

    A
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  • Let f(x) = (x^(2))/((1+x^(2)) .Then range (f ) =?

    A
    `[1,oo)`
    B
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    C
    `[-1,1]`
    D
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