Home
Class 12
MATHS
If the graph of the function y = f(x) is...

If the graph of the function y = f(x) is symmetrical about the line x = 2, then

A

f(x) = - f (-x)

B

f (2 +x) = f(2- x)

C

f(x) = f(-x)

D

f (x + 2) = f(x - 2)

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 1|60 Videos

  • RELATIONS AND FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos

  • PROBABILITY-1

    DISHA PUBLICATION|Exercise EXERCISE-1 : CONCEPT BUILDER|180 Videos

  • RELATIONS AND FUNCTIONS-2

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT APPLICATOR|30 Videos

Similar Questions

Explore conceptually related problems

If the graph of a function f(x is symmetrical about the line x = a, then

y=f(x) be a real valued function with domain as all real numbers.If the graph of the function is symmetrical about the line x=1 then for all alpha in R

Let f(x)=sqrt(x^(4)+15), then the gragh of the function y=f(x) is symmetrical about

If the graph of y=f(x) is symmetrical about the lines x=1andx=2, then which of the following is true? (a) f(x+1)=f(x)( b) f(x+3)=f(x)(c)f(x+2)=f(x)(d) None of these

If the garph of the function f(x)=ax^(3)+x^(2)+bx+c is symmetric about the line x = 2, then the value of a+b is equal to

If the graph of the function is symmetric about y-axis, then n is equal to :

If the function f(x) is symmetric about the line x=3 , then the value of the integral I=int_(-2)^(8)(f(x))/(f(x)+f(6-x))dx is

The graph of the function f(x)=-2^(-|x|)

If f(x)=f(2a-x) then the graph of f(x) is symmetric about the line

If the graph of y=ax^(3)+bx^(2)+cx+d is symmetric about the line x=K then the value of a+K is (y is not a constant function)

DISHA PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE - 2
  1. If the graph of the function y = f(x) is symmetrical about the line x ...

    Text Solution

    |

  2. If A {1,2}, B = {1,3}, " then " (A xx B)cup (B xx A) is equal to

    Text Solution

    |

  3. Which of the following relation is NOT a function ?

    Text Solution

    |

  4. The range of the function f(x)=(e^x-e^(|x|))/(e^x+e^(|x|)) is (-oo,oo)...

    Text Solution

    |

  5. Let X={1,2,3,4,5} and Y={1,3,5,7,9}. Which of the following is not a r...

    Text Solution

    |

  6. Find the domain of f(x)=sqrt((0. 625)^(4-3x)-(1. 6)^(x(x+8)))

    Text Solution

    |

  7. Let f(x)=x/(1-x) and let alpha be a real number. If x0=alpha, x1=f(x...

    Text Solution

    |

  8. The domain and range of the relation R given by R = {(x, y) : y = x...

    Text Solution

    |

  9. Find the range of f(x)=sgn(x^2-2x+3)dot

    Text Solution

    |

  10. The domain of definition of the function y(x) is given by the equation...

    Text Solution

    |

  11. A, B and C are three different sets and Axx(BcapC)=(A xxB)cap(AxxC). J...

    Text Solution

    |

  12. Let f be a function on R given by f(x) = x^(2) and let E = {x in R: - ...

    Text Solution

    |

  13. Let f(x)=x/(1+x^2) and g(x)=(e^-x)/(1+[x]), where [x] is the greatest ...

    Text Solution

    |

  14. The relation R defined on the set A = {1, 2, 3, 4, 5} by R = {(a, b)...

    Text Solution

    |

  15. Let f (x) = [x], where [x] denotes the greatest integer less than or e...

    Text Solution

    |

  16. Define relations R(1) and R(2) on set A = [2,3,5,7,10] as xR(1)y is 2x...

    Text Solution

    |

  17. A relation R is defined in the set Z of integers as follows (x, y ) in...

    Text Solution

    |

  18. The domain of the function f(x)=sqrt(x^(2)-5x+6)+sqrt(2x+8-x^(2)) , ...

    Text Solution

    |

  19. The real valued function f(x)=(a^x-1)/(x^n(a^x+1)) is even, then the v...

    Text Solution

    |

  20. the value of the function f(x)=(x^2-3x+2)/(x^2+x-6) lies in the inter...

    Text Solution

    |

  21. The domain of f (x) = log (|x - 2 | - 2 | - 1) is

    Text Solution

    |