even and odd functions

Even and Odd functions - 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 ..

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 function is an odd function? => sec 4 x or cos 7 x or 4 sec 5 x or sin 4 x..

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 graphs represents an odd-degree polynomial function? => Graph 2 or Graph 3 or Graph 1 and Graph 3 or Graph 2 and Graph 3..

If the function f ( x ) = k x n is an odd function and n is an integer greater than 1, then which of the following is correct? => n is a rational number or n is even or n is odd or n is an irrational number..

If a function f is defined by f ( x ) = 3 x 3 - 3 kx 2 + 3 x , x ∈ R is an odd function, then find k . => 1 or -1 or 2 or 0..

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..