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The function y=x^3-3x^2+6x-17...

The function `y=x^3-3x^2+6x-17`

A

increases everywhere

B

decreases everywhere

C

increases for positive x and decreases for negative x

D

increases for negative x and decreases for positive x

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-INCREASING AND DECREASING FUNCTIONS-Exercise
  1. The function f(x)=(asinx+b cosx)/(c sinx+d cos x) is decreasing, if

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  2. If f(x)=k x^3-9x^2+9x+3 monotonically increasing in R , then k<3 (b) ...

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  3. Find the value of a for which the function (a+2)x^3-3a x^2+9a x-1 decr...

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  4. The function y=x^3-3x^2+6x-17

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  5. The interval in which the function x^3 increases less rapidly than 6x...

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  6. The interval in which the function f(x)=sin x-cos x -ax +b decreases f...

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  7. The function y=cot^(-1) x- log (x+sqrt(x^2+1)) is decreasing in

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  8. the function(|x-1|)/(x^(2)) is monotonically decreasing at the point

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  9. Find the value of a in order that f(x)=sqrt(3)sinx-cosx-2a x+b decreas...

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  10. A function is matched below against an interval where it is supposed t...

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  11. A condition for a function y=f(x) to have an inverse is that it should...

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  12. Let g(x)=f(x)+f(1-x) and f''(x)<0, when x in (0,1). Then f(x) is

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  13. The function f(x)=(ln(pi+x))/(ln(e+x)) is

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  14. Column I, Column II int(e^(2x)-1)/(e^(2x)+1)dxi se q u a lto , p. x...

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  15. y={x(x-3)^2 increases for all values of x lying in the interval

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  16. If a lt 0 and f(x)=e^(ax )+ e^(-ax) is monotonically decreasing . F...

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  17. The function f(x) = tanx - x

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  18. The function f(x)=cot^(-1)x+x increases in the interval (a) (1,\ oo) ...

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  19. The function f(x)=(log)e(x^3+sqrt(x^6+1)) is of the following types: (...

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  20. Let f(x)=x^3-6x^2+15 x+3 . Then, (a) f(x)>0 for all x in R (b) f(x)>...

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