Is y = 3 + SiNx odd or even

Odd functions are certainly not
It depends on the
Y = 3 + SiNx, X ∈ {x | x = k π, K ∈π Z} are even functions
If the domain is not restricted, it is r, where f (x) = = 3 + SiNx, f (- x) = = 3 + sin (- x) = = 3-sinx
(1) F (- x) - f (x) = (3-sinx) - (3 + SiNx) = - 2sinx ≠ 0, that is, f (- x) ≠ f (x), so y = 3 + SiNx is not even function;
(2) F (- x) - [- f (x)] = (3-sinx) + (3 + SiNx) = 6 ≠ 0, that is, f (- x) ≠ - f (x), so y = 3 + SiNx is not an odd function

Is y = (√ x) SiNx an odd or even function?

If x > 0, then - x < 0, it is negative under the root of the equation, which is meaningless
Odd function or even function is to compare the relationship between F (x) and f (- x),

It is known that the quadratic function f (x) = ax ^ 2 + BX, f (x + 1) is an even function, and the image of function f (x) is tangent to the line y = X. (1) find the analytic formula of F (x); (2); (2) It is known that the quadratic function f (x) = ax ^ 2 + BX, f (x + 1) is even function, the image of function f (x) is tangent to the straight line y = X. (1) find the analytic formula of F (x); (2) if the function G (x) = [f (x) - k] x is a monotone decreasing function on [negative infinity, positive infinity], find the K range

If f (x + 1) = ax ^ 2 + (2a + b) x + A + B is even function, then 2A + B = 0
If f (x) is tangent to y = x, then B = 1, a = - 1 / 2
So f (x) = - 1 / 2x ^ 2 + X
2)\x1c、g’（x）=-3/2x^2+2x-k
When G '(x) = 0 has no solution or one solution, delta = 4-4 * (- 3 / 2) * (- K) ≤ 0, K ≥ 2 / 3

We know that the quadratic function f (x) = x ^ 2 + BX + C, and f (1) = 0. If the function FX is an even function, 1, find the analytic formula of FX 2. Under the condition of 1, find the maximum and minimum value of function FX on the interval [- 1,3] 3. To make the function FX

f(1)=1+b+c=0,
Even function: F (x) = f (- x) = x ^ 2-bx + C, so B = 0
So, C = - 1
That is, f (x) = x ^ 2-1
The opening is upward, decreasing on (- infinity, 0), increasing on [0, + infinity)
On the interval [- 1,3], there is a minimum value = - 1 when x = 0, and a maximum value = 8 when x = 3

The quadratic function f (x) satisfies f (x + 1) - f (x) = 2x + 3, and f (0) = 2. The analytic formula F (x) = (x + 1) ^ 2 + 1, if the function f (x + m) is even, find the value of F [f (m)]

f(x+m) = (x+m+1)^2 + 1
f(-x+m) = (-x+m+1)^2 + 1
The above two values are equal
So m = - 1
f(-1) = 1
f(f(-1)) = 5

It is known that the quadratic function FX is an even function and an analytic expression of it is obtained through point (3.6)

If it is an even function, it can be set to y = ax ^ 2 + C
Substituting (3,6): 6 = 9A + C, C = 6-9A
So y = ax ^ 2 + 6-9A
Let a = 1, that is, one of the analytic expressions; y = x ^ 2-3

If the function f (x) is a function with a period of two-thirds and f (π / 3) is equal to one, then f (6 π / 17) is equal to? F (17 / 6 * π) =? I'm sorry

f(17/6*π)=f(5*π/2+π/3)=f(π/3)=1

It is known that the quadratic function f (x) = AX2 + BX, f (x-1) is even function, and the set a = {x | f (x) = x} is a set of single elements (I) find the analytic formula of F (x); (II) Let G (x) = [f (x) - M] · ex, if function g (x) is monotone on X ∈ [- 3,2], find the value range of real number M

(I) ∵ the second-order function f (x) = AX2 + BX, f (x-1) is a even function, ᙽ f (x-1) is a even function, \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\it's a good idea

Let f (x) = asin (Wx + φ) (a > 0, w > 0). What are the values of φ, f (x) is odd function and even function?

When f (x) is an odd function: - f (x) = - asin (Wx + φ) = f (- x) = asin (- Wx + φ) sin (Wx + φ) = - sin (- (Wx - φ)) = sin (Wx - φ) Wx + φ = Wx - φ + T, so φ = k * t / 2 = k π / ω, K is any integer, f (x) = asin (Wx + φ) = f (- x) = asin (- Wx + φ) asin (Wx + φ) = asin

The function y = ax ^ 2 + BX + C is even if and only if

AX^2+B(-X)+C = AX^2+BX+C
Simplification
2BX=0
So for all x in the defined domain, BX = 0
And X cannot all be equal to 0
So B = 0
On the contrary, B = 0 is introduced into y = ax ^ 2 + BX + C
Y = ax ^ 2 + C
Even function
In conclusion, the necessary and sufficient condition is b = 0
A can be zero, because a C is also an even function

Is y = 3 + SiNx odd or even