Home
Class 14
MATHS
If f (x) is an even function, then the g...

If f (x) is an even function, then the graph y = f (x) will be symmetrical about

A

x-axis

B

y-axis

C

Both the axes

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    DISHA PUBLICATION|Exercise Practice Exercises (Standard Level)|30 Videos

  • FUNCTIONS

    DISHA PUBLICATION|Exercise Practice Exercises (Expert Level)|11 Videos

  • FUNCTIONS

    DISHA PUBLICATION|Exercise Test Yourself|15 Videos

  • COORDINATE GEOMETRY

    DISHA PUBLICATION|Exercise TEST YOURSELF|15 Videos

  • Fundamentals

    DISHA PUBLICATION|Exercise Test Yourself|15 Videos

Similar Questions

Explore conceptually related problems

If f(x) is an even function, then the curve y=f(x) is symmetric about

Let f be a differential function such that f(x)=f(2-x) and g(x)=f(1+x) then (1) g(x) is an odd function (2)g(x) is an even function (3) graph of f(x) is symmetrical about the line x=1 (4) f'(1)=0

If f(x) is an odd function, then the curve y=f(x) is symmetric

If f(x) is an even function,then write whether f'(x) is even or odd.

Let f:R to R be a function satisfying f(2-x)=f(2+x) and f(20-x)=f(x) AA x in R. For this function f , answer the following. The graph of y= f(x) is not symmetrial about

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

If f(x)=In[((100+x)e^(x^(3)))/(100-x)], then the graph of f^(-1)(x) will be symmetrical about

If f(x) is an odd function,then write whether f'(x) is even or odd.

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

DISHA PUBLICATION-FUNCTIONS-Practice Exercises (Foundation Level)
  1. f(x)=3x^(2), g(x)=h(x)=3x^(2)+3. The value of f(x) g(x) differ from th...

    Text Solution

    |

  2. If f(x)=|x| and g(x)=[x], then value of fog(-(1)/(4)) +gof (-(1)/(4)) ...

    Text Solution

    |

  3. If f (x) is an even function, then the graph y = f (x) will be symmetr...

    Text Solution

    |

  4. Find the maximum value of the function 1//(x^(2)-3x+2).

    Text Solution

    |

  5. The domain of definition of y=[log(10)((5x-x^(2))/(4))]^(1//2) is

    Text Solution

    |

  6. If f(t) =sqrt(t), g(t)=t//4 and h(t)=4t-8, then the formula for g(f(h(...

    Text Solution

    |

  7. If f(x)=5x^(3) and g(x)=3x^(5), then f(x).g(x) will be

    Text Solution

    |

  8. If f(x)={(1-x",", 0 le x le 2),(x-1",", 2 le x le 4),(1",", 4 le x le ...

    Text Solution

    |

  9. Given f(x)=log((1+x)/(1-x)) and g(x) = (3x+x^(3))/(1+3x^(2)), then fog...

    Text Solution

    |

  10. If x + (1)/(x) ne 0 and x ^(3) + (1)/(x ^(3)) =0 then the value (x + (...

    Text Solution

    |

  11. The graph of y = (x + 3)^(3) + 1 is the graph of y = x^(3) shifted

    Text Solution

    |

  12. Which of the following is not an even function?

    Text Solution

    |

  13. Let f (x) = |x – 2| + |x – 3| + |x – 4| and g(x) = f (x + 1). Then

    Text Solution

    |

  14. Which of the following functions is inverse of itself?

    Text Solution

    |

  15. Find the value of f(f(-2)), if f(x)=(x)/(x+1)

    Text Solution

    |

  16. Find the value of f (f ( f (3))) + f ( f (1)), if f(x)={((x)/(x+1),,...

    Text Solution

    |

  17. If f(x)=log {(1+x)/(1-x)}, then f(x)+f(y) is

    Text Solution

    |

  18. Let f(x) =ax^(2) -b|x|, where a and b are constants. Then at x = 0, f...

    Text Solution

    |

  19. Let f (x) be a function satisfying f (x) f (y) = f (xy) for all real x...

    Text Solution

    |

  20. Which of the following functions is an odd function?

    Text Solution

    |