Home
Class 10
MATHS
If the function f is defined by f(x)={{:...

If the function `f` is defined by `f(x)={{:(x+2",",x gt 1),(2",",-1 le x le 1),(x-1",",-3 lt x lt-1):}` then find the values of (ii) `f(0)`

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTION

    PREMIERS PUBLISHERS|Exercise EXERCISE 1.5|18 Videos
  • RELATIONS AND FUNCTION

    PREMIERS PUBLISHERS|Exercise EXERCISE 1.6|15 Videos
  • RELATIONS AND FUNCTION

    PREMIERS PUBLISHERS|Exercise EXERCISE 1.3|16 Videos
  • NUMBERS AND SEQUENCES

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT OBJECTIVE TYPE QUESTIONS|23 Videos
  • STATISTICS AND PROBABILITY

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT OBJECTIVE TYPE QUESTIONS|23 Videos

Similar Questions

Explore conceptually related problems

If the function f : R to R is defined by f(x)={{:(2x+7","x lt -2),(x^(2)-2","-2 le x lt 3","),(3x-2","x ge 3):} then find the values of (i) f(4) (ii) f(-2) (iii) f(4)+2f(1) (iv) (f(1)-3f(4))/(f(-3))

For the distribution function given by F(x)={{:(0",", x lt 0), (x^(2)",", 0 le x le 1), (1",", x gt 1):} . Find the density function. Also evaluate (i) P(0.5 lt x lt 0.75) (ii) P(x le 0.5) (iii) P(X gt 0.75)

Discuss the continuity of the function f, where f is defined by f(x)={{:(3," if "0 le xle 1),(4," if "1 lt x lt 3),(5," if "3 le x le 10):} .

The function f is defined by f(x) = {{:(1-x, x lt 0) ,( 1, x=0),( x+1,x gt 0):} draw the graph of f(x) .

If the function f: R to R is defined by f (x) {:{( 2x+1 ,xlt-1) ,( x^(2) -1,le x lt 3 ),( 3x-2, xge 3) :} "Find " (f(-1) +f(3))/( 2)

If X is the random variable with distribution function F(x) given by, F(x)={{:(0, x lt 0), (1/2(x^(2)+x), 0 le x lt 1), (1, x le 1):} then find (i) the probability density function f(x) (ii) P(0.3 le X le 0.6)

PREMIERS PUBLISHERS-RELATIONS AND FUNCTION -EXERCISE 1.4
  1. Show that the function f:N toN defined by f(m)=m^(2)+m+3 is one-one fu...

    Text Solution

    |

  2. Let A ={ 1,2,3,4,} and B =N. Let f: A to B be defined by f(x) =x^(2) ...

    Text Solution

    |

  3. Let A={1, 2, 3, 4, 5}, B=N and f: A to B be defined by f(x)=x^(2). Fin...

    Text Solution

    |

  4. In each of the following cases state whether the functions is bijectiv...

    Text Solution

    |

  5. In each of the following cases state whether the functions is bijectiv...

    Text Solution

    |

  6. Let A={-1, 1} and B={0, 2}. If the functions f:A to B defined by f(x)=...

    Text Solution

    |

  7. If the function f is defined by f(x)={{:(x+2",",x gt 1),(2",",-1 le x ...

    Text Solution

    |

  8. If the function f is defined by f(x)={{:(x+2",",x gt 1),(2",",-1 le x ...

    Text Solution

    |

  9. If the function f is defined by f(x)={(x+2," if" xgt1), (2" if" -1le...

    Text Solution

    |

  10. If the function f is defined by f(x)={{:(x+2",",x gt 1),(2",",-1 le x ...

    Text Solution

    |

  11. A function f:[-5, 9] to R is defined as follows: f(x)={(6x+1" if" -5...

    Text Solution

    |

  12. A function f:[-5, 9] to R is defined as follows: f(x)={(6x+1" if" -5...

    Text Solution

    |

  13. A function f:[-5, 9] to R is defined as follows: f(x)={(6x+1" if" -5...

    Text Solution

    |

  14. A function f:[-5, 9] to R is defined as follows: f(x)={(6x+1" if" -5...

    Text Solution

    |

  15. The distance S an object travles under the influence of gravity in tim...

    Text Solution

    |

  16. The function 't' which maps temperature in Celsius (C) into temperatur...

    Text Solution

    |

  17. The function 't' which maps temperature in Celsius (C) into temperatur...

    Text Solution

    |

  18. The function 't' which maps temperature in Celsius (C) into temperatur...

    Text Solution

    |

  19. The function 't' which maps temperature in Celsius (C) into temperatur...

    Text Solution

    |

  20. The function 't' which maps temperature in Celsius (C) into temperatur...

    Text Solution

    |