Home
Class 12
MATHS
If R(1)={(x,y)|y=2x+7, where x in R and ...

If `R_(1)={(x,y)|y=2x+7,` where `x in R` and `-5 le x le 5}` is a relation. Then find the domain and Range of `R_(1)`.

Text Solution

Verified by Experts

We have,
`R_(1)={(x,y)|y=2x+7, ` where `x in R` and `-5 le x le 5}`
Domain of `R_(1)={-5 le x le 5, x in R} -= [-5,5]`
` :' x in [-5,5],2x in [-10,10]`
`implies 2x+7 in [-3,17]`
Thus range is `[-3,17]`.
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

If R={(x,y): x,y in W, x ^(2)+y^(2)=25} , then find the domain and range of R.

A relation R is defined from set A = {1, 2, 3, 4} to set B= {5, 6, 7, 8} as follows: x Ry rArrx+y=8 Find R^-1 , the inverse relation of R. Also find the domain and range of R^-1 .

If R is a relation defined as R ={ (x,y):x,y in N and x+3y =12}. Then find the domain and range of R.

Let A={1,2,3,4,5,6,7,8} and a relation R on A is given by, R={(x,y):x in A,y in A and 2x+y=12} Find R and R^-1 as sets of ordered pairs. Also find domains and ranges of R and R^-1 .

Let R be the relation on the set A of first twelve natural numbers defined by, R={(x,y):x+2y=12 and x, y in A} Find R as the set of ordered pairs. Also find its domain and range.

If R is a relation defined as R={(x,y):x,yinN " and "x+3y=12} , then find the domain and range of R.

If R ={ (x,y) : x,y in z, x^(2) +y^(2) le 4 } is a relation on Z Z then domain of R is { 0,-1,k,-2,2} find the value of k.

Let R="{"x , y")": x , y in R ,x^2+y^2lt=25} and R^(prime)={(x , y): x , y in R , ygeq4/9x^2}dot Then find the domain and range of RnnR^(prime)dot

Solve: 2/(|x|-3)le1/2 where x in R and x ne pm 3 .

Let ZZ be the set of integers and let R be the relation on ZZ defined as R={(x,y)|x,y in ZZ and x^2+y^2=100} Find R as the set of ordered pairs. Also find its domain and range.

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Let A = {1, 2, 3, 4, 6}. Let R be the relation on A defined by {(a , b...

    Text Solution

    |

  2. If R={(x,y): x,y in W, x ^(2)+y^(2)=25}, then find the domain and rang...

    Text Solution

    |

  3. If R(1)={(x,y)|y=2x+7, where x in R and -5 le x le 5} is a relation. T...

    Text Solution

    |

  4. Show that the relation R in the set R of real numbers, defined as R={...

    Text Solution

    |

  5. Prove that the relation R in set A = {1, 2, 3, 4, 5} given by R = {(a...

    Text Solution

    |

  6. Show that the relation R in the set A of points in a plane given by R ...

    Text Solution

    |

  7. Show that the relation R defined in the set A of all triangles as R={(...

    Text Solution

    |

  8. Given a non empty set X, consider P (X) which is the set of all subset...

    Text Solution

    |

  9. Examine each of the following relations given below and state in each...

    Text Solution

    |

  10. If A is set of different triangles in the plane and B is set of all po...

    Text Solution

    |

  11. A relation R is defined from N to N as R={(ab,a+b): a,b in N}. Is R ...

    Text Solution

    |

  12. Set A has m distinct elements and set B has n distinct elements. The...

    Text Solution

    |

  13. Write explicit functions of y defined by the following equations and a...

    Text Solution

    |

  14. Find the domain and range of the following functions. (i) f(x)=sqrt...

    Text Solution

    |

  15. Find the domain and range function f(x) =(x^(2)-3x+2)/(x^(2)-4x+3).

    Text Solution

    |

  16. Find the values of x for which the following functions are identical....

    Text Solution

    |

  17. ABCD is a square of side l. A line parallel to the diagonal BD at a di...

    Text Solution

    |

  18. The relation f is defined by f(x) ={(3x+2", "0le x le2),(x^(3)", ...

    Text Solution

    |

  19. If f: [-3,4] to R,f(x)=2x, " and " g :[-2, 6] to R,g(x) =x^(2). Then f...

    Text Solution

    |

  20. If f(x) ={(x^(3)", " x lt1),(2x-1", " x ge 1):} " and " g(x)={(...

    Text Solution

    |