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Let f(x)=|[1,1,1] , [3-x,5-3x^2,3x^3-1] ...

Let `f(x)=|[1,1,1] , [3-x,5-3x^2,3x^3-1] , [2x^2-1,3x^5-1,7x^8-1]|` then the equation of `f(x)=0` has

A

f(x) = 0 has at least two real roots

B

f'(x) = 0 has at least one real root

C

f (x) is many-one function

D

All of the above

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The correct Answer is:
D
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DISHA PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-Exercise-2 : Concept Applicator
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  2. The function f: R-{0} -> R given by f(x)=1/x-2/[e^2x-1] can be made co...

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  3. Let f(x)=|[1,1,1] , [3-x,5-3x^2,3x^3-1] , [2x^2-1,3x^5-1,7x^8-1]| then...

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  4. Find the value of a for which the following function is continuous ...

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  5. The value of a for which the function f(x)=f(x)={((4^x-1)hat3)/(sin(x...

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  7. The function defined by f(x)={(((1)/(x^2+e^2-x))^(-1),xne2),(" "k"...

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  8. In the Mean Value theorem (f(b)-f(a))/(b-a)=f'(c) if a=0 , b =1/2 a...

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  9. Leg f(x+y)=f(x)+f(y)fora l lx , y in R , If f(x)i scon t inuou sa tx=...

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  10. Which of the following is true about f(x)={(((x-2))/(|x-2|)((x^2-1...

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  11. Let f be a continuous function on R such that f (1/(4n))=sin e^n/(e^...

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  13. Find the values of aa n db if f(x)={a+sin^(-1)(x+b),xgeq1x ,x<1 is di...

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  14. Which of the following functions is not differentiable at x=1?

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  15. If f(x)=(x)/(1+x)+(x)/((x+1)(2x+1))+(x)/((2x+1)(3x+1))+…"to "infty,the...

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  16. if f(x)=(x^2-4)|(x^3-6x^2+11x-6)|+x/(1+|x|)then set of points at which...

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  17. Number of point where function f(x) defined as f:[0,2pi] rarrR,f(x)={{...

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  18. If the function f(x)=[((x-2)^3)/a]sin(x-2)+acos(x-2),[dot] denotes the...

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  19. If g is the inverse function of fa n df^(prime)(x)=sinx ,t h e ng^(pri...

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  20. Which of the following function is not differentiable at x=0? f(x)=mi...

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