Home
Class 12
MATHS
A function f(x) is defined as even i...

A function f(x) is defined as even if and only if `f(x) = f(-x)` for all real values of x. Which one of the following graphs represents an even function f(x) ?

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATH PRACTICE SECTION -1

    PRINCETON|Exercise MATHEMATICS TEST|59 Videos
  • OTHER ALGEBRA STRATEGIES

    PRINCETON|Exercise Algebra Strategies Drill 2: Calculator-Permitted Section|6 Videos

Similar Questions

Explore conceptually related problems

The quadratic y=f(x) is shown above. Which of the following graphs represents the function y=f(x+3)-4 ?

If f(x) is a real valued odd function , then which one of the following is incorrect ?

A function is said to be even if f(x)=f(-x). Which of the following is not an even function?

The graph of the function y =f(x) . Then which of the following curve represent the graph of the function y= |f(x)|

A function f(x) satisfies the functional equation x^2f(x)+f(1-x)=2x-x^4 for all real x. f(x) must be

A function f(x) is defined for all real numbers by the expression (x - 1.5)(x - 2.5)(x - 3.5)(x - 4.5) . For which one of the following values of x, represented on the number line is f(x) negative? The graph is not drawn to scale.

If a real valued function f(x) satisfies the equation f(x +y)=f(x)+f (y) for all x,y in R then f(x) is

If a real function f(x) satisfies the relation f(x) = f(2a -x) for all x in R . Then, its graph is symmetrical about the line.

Which of the following functions is (are) even, odd or neither: f(x)=sinx-cosx

PRINCETON-MATH TEST 01-MCQs
  1. The solution set of 5x+9 ge 2(3x+4)+7 is shown by which of the ...

    Text Solution

    |

  2. An artist wants to cover the entire outside of a rectangular b...

    Text Solution

    |

  3. In the figure shown below , bar(BC) and bar(EF) are parallel an...

    Text Solution

    |

  4. Given the figure below , what is the area of the trapezoid , in...

    Text Solution

    |

  5. What is the solution set root(5)(x^2+4x)=2?

    Text Solution

    |

  6. As shown in the figure below , a skatebond ramp leading from t...

    Text Solution

    |

  7. The 4 integers j,j,k and n have an average of 0. which of the...

    Text Solution

    |

  8. IF f(x) = sqrt(x) and the composite function f(g(x))=sqrt(4x^2-5)...

    Text Solution

    |

  9. In the qualifying rounds for a race , Rusty and Date drive theif ...

    Text Solution

    |

  10. In the qualifying rounds for a race , Rusty and Date drive theif ...

    Text Solution

    |

  11. In the qualifying rounds for a race , Rusty and Date drive theif ...

    Text Solution

    |

  12. Circle A has its center at point (-5,2) with a radius of 2 , a...

    Text Solution

    |

  13. A heart - shaped ornement is made from a square and two semici...

    Text Solution

    |

  14. A function f(x) is defined as even if and only if f(x) = f(-x) ...

    Text Solution

    |

  15. In the standard (x,y) coordinate plane , point A is located at ...

    Text Solution

    |

  16. RST is a right triangle with side lengths of r,s, and t, as show...

    Text Solution

    |

  17. In isosceles triangle ABC below , the measures of angle BAC a...

    Text Solution

    |

  18. Which of the following represents the product of the matrices ...

    Text Solution

    |

  19. If ((n+1)!)/((n-1)!)=20 , then n! =?

    Text Solution

    |

  20. What is the ratio of a circle's Radius to its circumference?

    Text Solution

    |