Home
Class 12
MATHS
Find f(x) when it is given by f(x)=max...

Find f(x) when it is given by
`f(x)=max{x^(3),x^(2),(1)/(64)},AA x in [0, oo).`

Text Solution

Verified by Experts

The correct Answer is:
C

Clearly, from the graph, `f(x)={((1)/(64)",",0 le x le (1)/(8)),(x^(2)",", (1)/(8) lt x le 1),(x^(3)",", x gt 1):}`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

The function f(x) = "max"{(1-x), (1+x), 2}, x in (-oo, oo) is

Plot the function f(x)= max{x, x^2, x^3}

Find the intervals in which the function f given by f(x)=x^(3)+1/x^(3) (x ne 0) is increasing

Find the intervals in which the function f given by f(x)=x^(3)+1/x^(3) (x ne 0) is decreasing

If f(x)=x^2+3 , then find f^-1(x)

The definition of the function f (x) is given below: f(x)={{:((1)/(2)-x,"when "xlt3 ),(1,"when " x=3),(x-(1)/(2),"when " xgt3):} Calculate f (3-0), f(3+0),f(3) and state whether f (x) is continuous at x =3 or not.

If f(x)=max{x^3, x^2,1/(64)}AAx in [0,oo),t h e n f(x)={x^2,0lt=xlt=1x^3,x > 0 f(x) = { 1/(64), 0 lt= x lt = 1/4 x^2, 1/4 1 f(x)={1/(64),0lt=xlt=1/8x^2,1/8 1 f(x)={1/(64),0lt=xlt=1/8x^3,x >1/8

Find the equivalent definition of f(x)=max{x^2,(1-x)^2,2x(1-x)} where 0lt=xlt=1

Let f(x) be defined on [-2,2] and is given by f(x)={(-1, -2lexlt0),(x-1, 0lexle2):} and g(x)=f(|x|)+|f(x)|, then find g(x).

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. If f(3x+2)+f(3x+29)=0x in R , then the period of f(x) is (a) 7 (b) 8 ...

    Text Solution

    |

  2. If the graph of y=f(x) is symmetrical about the lines x=1a n dx=2, the...

    Text Solution

    |

  3. Find f(x) when it is given by f(x)=max{x^(3),x^(2),(1)/(64)},AA x in...

    Text Solution

    |

  4. The equation ||x-2|+a|=4 can have four distinct real solutions for x i...

    Text Solution

    |

  5. Number of integral values of k for which the equation 4 cos^(-1)(-|x|)...

    Text Solution

    |

  6. If f(x) is a real=valued function defined as f(x)=1N(1-sinx), then the...

    Text Solution

    |

  7. Let f(x)=x+2|x+1|+x-1|dotIff(x)=k has exactly one real solution, then ...

    Text Solution

    |

  8. The number of solutions of 2cosx=|sinx|,0lt=xlt=4pi, is (a) 0 (b) 2 ...

    Text Solution

    |

  9. Given that f(x)=5x^2−8x,g(x)=x^2−5x−24 . Find ( f/g)(x)

    Text Solution

    |

  10. If log(4)((2f(x))/(1-f(x)))=x, " then "(f(2010)+f(-2009)) is equal to

    Text Solution

    |

  11. Let f(x)=sec^(-1)[1+cos^(2)x], where [.] denotes the greatest integer ...

    Text Solution

    |

  12. Let f : R rarr[-1,oo] and f(x)= ln([|sin 2 x|+|cos 2 x|]) (where[.] is...

    Text Solution

    |

  13. If f: R ->Nuu{0}, where f (area of triangle joining points P(5,0),Q(8,...

    Text Solution

    |

  14. The domain of the function f(x)=(log)e{(log)(|sinx|)(x^2-8x+23)-{3/((l...

    Text Solution

    |

  15. Let f(x)=sgn(cot^(-1)x)+tan((pi)/(2)[x]), where [x] is the greatest in...

    Text Solution

    |

  16. f(x)=sqrt(1-sin^(2)x)+sqrt(1+tan^(2)x) then

    Text Solution

    |

  17. If the following functions are defined from [-1,1]to[-1,1], select tho...

    Text Solution

    |

  18. Let f(x)={x^2-4x+3,x<3x-4,xgeq3 a n dg(x)={x-3,x<4x^2+2x+2,xgeq4 the...

    Text Solution

    |

  19. Let f(x)=max{1+sinx,1,1-cosx}, xin[0,2pi] and g(x)=max{1,|x-1|} x in R...

    Text Solution

    |

  20. If the function f(x) satisfies the condition f(x + 1/x) = x^2 + 1/x^2,...

    Text Solution

    |