even and odd functions origin

A function f : A B is said to be an odd function if f(x) = - f(-x) for all x A The domain and range of f depends on the definition of the function. Examples of odd function are y = sinx, y = x 3 , y = ta..

i) A function f(x) is said to be even if f(-x) = f(x) ii) A function f(x) is said to be odd if f(-x) = -f(x) e.g., f(x) = x 3 , f(-x) = (-x) 3 = -x 3 = -f(x) f(x) = cos x is even for f(-x) = cos (-x) = cos q = f(x) f(x) = x cos x is odd for f(-x) = (-x) cos (..

Choose the graph of an odd function. => Graph A or Graph B or Graph C or Both Graph A & Graph B..

Which of the following functions is neither even nor odd? => f ( x ) = ( x - 2) 2 or h ( x ) = | x | - 2 or g ( x ) = x 2 + 4 or k ( x ) = x 3..

Which of the following functions is an odd function? => sec x or cos 2 x or 2 sec 3 x or sin x..

Identify the graph with odd-degree polynomial function. => Graph 3 or Graph 2 and Graph 3 or Graph 1 and Graph 3 or Graph 1..

1. The electron density of a conductor depends on the material of the conductor. When two materials are in contact at the junction, free electrons diffuse from metals having higher number density (i.e., free electrons per unit volume) to the other metal having a lower electron density. This diffusi..

Which of the following is true for the function f ( x ) = x 5 + x 4 + x + 1 ? I. f ( x ) is an even function II. f ( x ) is an odd function III. f ( x ) is neither even nor odd..

Which of the following is true for an odd function f ( x ) ? I. symmetric about origin II. not symmetric III. f (- x ) = - f ( x ) IV. symmetric about y - axis V. f (- x ) = f ( x ) => I and III or IV and V or V only or II only or IV only..

The circle whose radius is 1 unit whose centre is the origin of a rectangular co-ordinate system is called the unit circle. 1. cos q = x. 2. sin q = y. 3. tan q = y/x. 4. sec q = 1/x. 5. cosec q = 1/y. 6. cot q = x/y. The six functions of q defined by the above eq..