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The Even Function Is

Solution: (3) Even function: f (-x) = f (x) f (x) – f (-x) = 0 1) f (x) =... View Article

Solution: (4) f (x) = |sin 2x| + |cos 8x| f (x) = sin 2x The period of sin x... View Article

Solution: (4) f (x) = sin √x f (x) = sinx Period = 2π √x = 0, 2π, 4π, …... View Article

Solution: (2) Let the period of the function f (x) be T f (a + x) be T / |a|... View Article

Solution: (1) y = 2x – 1 At x = 1, y = 1 At x = 2, y =... View Article

Solution: (2) f (x) = x3 – x2 + 4x + 2 sin-1 x = x3 + 2 sin-1 x... View Article

Solution: (3) f (x) = (x2 + 1) / (x2 – 3x + 3) (x2 + 1) and (x2 –... View Article

Solution: All the choices are correct. A = {1, 2, 3, 4} On verifying with the given options, (1) {1,... View Article

Solution: (3) y = 3 sin (√{[π2 / 16] – x2}) The domain is [0, π / 4] Put x... View Article

Solution: (4) f (x) = x2 + 2x + 2 = x2 + 2x + 1 + 1 = (x... View Article

Solution: (4) f (x) = |x – 2| When a line is drawn parallel to the x-axis, it intersects at... View Article

Solution: (3) F (x) = √cosx √cosx = positive or 0 cosx = (-1, 1) cosx lies between 0 and... View Article

Solution: (3) bx – For very large negative values of x, the function is very close to 0. The domain... View Article

Solution: (2) sin2θ = [1 – cos 2θ] / 2 = (1 / 2) – (1 / 2) cos 2θ... View Article

Solution: (4) f (x) is an odd periodic function Period = 2 Odd function: f (-x) = – f (x)... View Article

Solution: (1) Domain : A : {1, 2, 3, 4, …..10} Codomain : B : {1, 2, 3, 4, …..10}... View Article

Question Solution: (4) f (x) = x, when x is rational and 0 when x is irrational g (x) =... View Article

Solution: (4) f : R → R f (-1) = |-1| = 1, f (1) = |1| = 1 f... View Article

Solution: (3) f : X → Y X : domain and Y : codomain One-one function definition: x1 ≠ x2 f... View Article

Solution: (2) f : R → R Domain = R Codomain = R f (x) = (x – 1) (x... View Article