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Let f : R to R be defined by f(x)=x^(4),...

Let f : R `to` R be defined by `f(x)=x^(4)`, then

A

1.f is one - one and onto

B

2.f may be one - one and onto

C

3.f is one - one but not onto

D

4.f is neither one - one nor onto

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The correct Answer is:
D
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SUNSTAR PUBLICATION-K-CET- MATHEMATICS - 2017-MCQs
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  3. Let f : R to R be defined by f(x)=x^(4), then

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  4. The range of sec^(-1)x is

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  5. If tan^(-1)x + tan^(-1)y=4pi//5, then cot^(-1)x + cot^(-1)y is equal t...

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  6. If f(x)=8x^(3), g(x)=x^(1//3), then fog (x) is

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  7. If A = 1/pi [(sin^(-1)(xpi),tan^(-1)(x/pi)),(sin^(-1)(x/pi),cot^(-1)(p...

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  8. If the matrix A is both symmetric and skew symmetric, then

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  9. Find x and y, if 2[(1,3),(0,x)]+[(y,0),(1,2)]=[(5,6),(1,8)]

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  10. Binary operation * on R -{-1} defined by a ** b = (a)/(b+1) is

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  11. find the value of x for which |(3,x),(x,1)|=|(3,2),(4,1)|

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  12. If A is a square matrix of order 3xx3, then |KA| is equal to

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  13. The area of triangle with vertices (K, 0), (4,0), (0, 2) is 4 square u...

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  14. Let Delta=|(Ax,x^(2),1),(By,y^(2),1),(Cz,z^(2),1)| and Delta(1)=|(A,B,...

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  15. If f(x)={{:(Kx^(2),"if x" le 2),(3,"if x" gt 2):}} is continuous at x ...

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  16. The value of C in mean value theorem for the function f(x)=x^(2) in [2...

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  17. The point on the curve y^(2)=x, where the tangent makes an angle of (p...

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  18. The function f(x)=x^(2)+2x-5 is strictly increasing in the interval

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  19. The rate of change of volume of a sphere with respect to its surface a...

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