Judge the parity of the following functions (1) f (x) = | 1 / 2x-3 | + | 1 / 2x + 3|

RELATED INFORMATIONS

• 1. Judging the parity of function f (x) - f (- x)
• 2. Given that f [x} = AX-1 {a > 0, a ≠ 1} has both the domain of definition and the range of value [1,2], what is the value of a
• 3. It is known that the domain of the function f (x) = x ^ 2-ax + 3 is the domain of (2,4) when a belongs to (2,6)
• 4. How many twin functions are there with y = 2x & sup2; + 1 and range {3,19}? If a series of functions have the same analytic expression, the same range of values, but different domain of definitions, then these functions are "twin functions" Can you make it clear?
• 5. Let a be a constant and a > 0,0=
• 6. Find the minimum value of the function y = cos ^ 2x + 2asinx-1, X ∈ [0,2 π), a ∈ R =
• 7. Let a be a constant and a > 1, 0 ≤ x ≤ 2 π, then the maximum value of F (x) = cos2x + 2asinx-1 is () A. 2a+1B. 2a-1C. -2a-1D. a2
• 8. The minimum value of the function y = sin ^ 2-cos ^ 2x is
• 9. Minimum value of function y = cos ^ 2x / 2-sin ^ 2x / 2
• 10. Function y = cos ^ 2x-sin ^ 2x minimum
• 11. Judge the parity of (1) f (x) = 1 / 2x. (2) f (x) = - 2x + 5. (3) f (x) = X4 + x2-1. (4) f (x) = 2x3-x By the way, write down its domain
• 12. F (x) = x ^ 2 + 2x judge the parity of function
• 13. Try to discuss the parity of the function f (x) = x & # 178; - 2x + 3x > 0 = 0, x = 0 - X & # 178; - 2x-3x f（x）=x²-2x+3 x>0 =0 x=0 =x²-2x-3 x
• 14. F (x) = 2x & # 178; + 4, X ∈ [- 2,2]
• 15. How to judge whether the domain is symmetric about the origin? For example: for the function f (x) = 3tan (1 / 2 x - π / 3), when discussing the parity of F (x), why is the domain not symmetric about the origin?
• 16. Trigonometric function symmetry If the image of y = sin (x + a) + radical three cos (x-a) is symmetric about the Y axis, then the value of a is Why is it wrong to calculate with x = 0, y = plus or minus 2? The answer is a = k π - π / 6
• 17. Trigonometric function symmetry If f (x) = sin (π / 4 x + π / 6), G (x) is symmetric with respect to x = 1, then G (x) is obtained There is also an analytic expression of y = 3sin (π / 2x + π / 6) with respect to x = 2 π symmetry
• 18. For the function f (x), f (x) is not zero, and X1 and X2 belong to any real number on R, there is f (x1 + x2) = 2 * f (x1) * f (x2). It is proved that f (x) is an even function
• 19. Given that the function f (x) has: F (x1x2) = f (x1) + F (x2) for any x1, X2 on R, it is proved that f (x) is an even function
• 20. Let y = f (x) (x belongs to R) satisfy f (x1) + F (x2) = f (x1 * x2) for any real number x1, X2, and prove that (1) f (1) = f (- 1) = 0 (2) f (x) is even function