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Let f[-2,2]rarrR be a continuous functio...

Let `f[-2,2]rarrR` be a continuous function such that `f(x)`assumes only irrational values. If `f(sqrt2)=sqrt2`,

A

`f(0)=0`

B

`f(sqrt2-1)=sqrt2-1`

C

`f(sqrt2-1)=sqrt2+1`

D

`f(sqrt2-1)=sqrt2`

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PATHFINDER-FUNCTION-QUESTION BANK
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  3. Let f[-2,2]rarrR be a continuous function such that f(x)assumes only i...

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  4. Let f:NrarrR be such that f(1)=1and f(1)+2f(2)+3f(3)+......+nf(n)=n(n+...

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  5. For the functionf(x)=[1/[[x]]] , where [x] denotes the greatest intege...

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  7. If a in R and the equation -3(x-[x])^2+2(x-[x])+a^2=0 (where [x] deno...

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  13. Letf:RrarrR be such that f is injective and f(x) f(y)=f(x+y) for all x...

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  14. The function f[0,3]rarr[1,29], defined by f(x)=2x^3-15x^2+36x+1,is

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  15. Let f(x)=ax^2+bx+c,g(x)=px^2+qx+r such that f(1)=g(1),f(2)=g(2)and f(3...

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  17. Let R be the set of real numbers and the functionsf:RrarrR and g:Rrarr...

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  19. Letf:(0,1)rarrR be defined by f(x)=b-x/1-bx , where b is a constant su...

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