even and odd functions origin

Definition - The figure is a unit circle, with origin O as centre cuts the x-axis at A (1,0) and let a variable point moving on the circumference move through an arc length q . i.e., AP = p( q ). The coordinates at the position of p( q ) are p(x,y) = (cos q , sin q ). Then the tangent ..

(x) of x under f is called the value of 'f ' at x. Types of Function and their Graphs: Constant function, Identity function, Polynomial function, Modulus function, Square root function, Greatest integer function or Step func..

Which of the following is true for the graph of even function? => symmetric with respect to the origin or symmetric with respect to the x -axis or symmetric with respect to the both origin and y -axis or symmetric with respect to the y -axis or symmetric with respect t..

Use the advertisement to find a function that would give the sale price y for an original price x . => y = 6 x or y = 0.4 x or y = 0.6 x or None of the above..

A function y = 8 x represents a line passing through the origin. If x ≥ 0 and x ≤ 5, then which table shows the relation between input and output for the function? => Table 1 or Table 2 or Table 3 or Table 4..

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 + 3 x | ? I. symmetric about y - axis II. not symmetric III. f ( x ) is an even function IV. f (- x ) = - f ( x ) V. symmetric about origin..

Which of the following is true for the function f ( x ) = 1 x 2 + 1 ? I. f ( x ) is an even function II. symmetric about origin III. not symmetric IV. symmetric about y - axis V. f (- x ) = - f ( x ) => I and IV or II only or III only or III and V..

Which of the following is true for the function f ( x ) = x 4 + 2 x 2 + 2 ? => not symmetric or symmetric about the point y = 2 or symmetric about origin or symmetric about y - axis or an odd function..