Finding the minimum positive period of known function f (x) known function f (x) = 2 √ 3sin (x / 2 + π / 4) cos (x / 2 + π / 4) - sin (x + π)

RELATED INFORMATIONS

• 1. Let f (x) = sin (Wx + α), where w > 0, | α|
• 2. Translate the image of the first-order function y = 2x + 1 up one unit length, and then to the right two unit lengths? The expression of the function is
• 3. If the image of the function y = ax1 + X is symmetric with respect to the line y = x, then a is () A. 1b. - 1C. ± 1D. Any real number
• 4. On the image of exponential function in the first year of high school I did an exponential function image problem, a belongs to 1 / 3, 1 / 2, 2, 3, ask which of these four images is, I have no graph, please tell me when a is greater than 0 and less than 1, is a = 1 / 3 close to the Y axis, or 1 / 2 closer to the Y axis, when a is greater than 1, is a = 2 closer to the Y axis or 3 closer to the Y axis
• 5. Exponential function in senior one Let 0 ≤ x ≤ 2, find the maximum and minimum of the function x-1/2 x y=4 - a·2 + a*a/2 + 1 ..................x-1/2 x y=4 - a·2 + a*a/2 + 1
• 6. Given f (x) = (x power of A-X power of a), G (x) = (x power of a + x power of a) Verification: [f (x)] 2 + [g (x)] 2 = g (2x)
• 7. The range of function y = (13) − 2x2 − 8x + 1 (- 3 ≤ x ≤ 1) is______ ．
• 8. If the exponential function y = a ^ (X-B) passes through point (1,1), and the sum of the maximum values on X ∈ [2,3] is 6, then a + B= It's only one day 2. Given that the logarithm function y = loga (x + b) is constant over (2,0) point, find the value range of the function on X ∈ [2,3] (this problem may have problems, if not, give up first.) 3. Given that the center of symmetry of F (x) = (x + b) / (x + a) is (1,1), find the range of F (x) on X ∈ [2,3] 4. Given f (x + 2 = root 2, find the analytic expression of F (x)
• 9. Which is an exponential function, y = a ^ X or y = 2 ^ x?
• 10. The general method of judging odd and even monotony by high school exponential function RT
• 11. If the image of the function y = sin (x + φ) is symmetric about the origin, then a value of φ is () A. π2B. −π4C. πD. 32π
• 12. The image of the function f (x) defined on R is symmetric about y axis and satisfies f (- x) = - f (x + 2) Find f (1) + F (2) + F (3) + F (4) + F (5) + F (6) + F (7) + F (8) =?
• 13. Write the inverse proposition of odd function image with respect to the origin symmetry, and judge whether the true and false even function with respect to Y-axis symmetry is symmetric with respect to the origin
• 14. Is it even function as long as the symmetry about y axis is determined?
• 15. Even functions are symmetric about the y-axis,
• 16. Are even functions always symmetric about the y-axis When y = f (x + 8) is an even function, the image is symmetric with respect to x = 8, When it is an odd function, it is centrosymmetric about point (8,0)? Y = f (x + 8) is a periodic function? When y = f (x + 8) is an even function, the image is symmetric about x = 8 and Y axis; If it is an odd function, it is centrosymmetric with respect to the point (8,0) and symmetric with respect to the origin. Are there two axes of symmetry?
• 17. If. Y = f (x) is an even function, then the image of y = f (x + 2) is symmetric about the Y axis? Is the proposition that the images of y = (X-2) and y = f (2-x) are symmetric with respect to x = 2 correct?
• 18. Do odd function images cross the origin? Do even function images intersect Y axis? Give an example
• 19. Why is the graph of even function symmetric about y axis and the graph of odd function symmetric about origin Why?
• 20. Is odd function symmetric about origin? Even function symmetric about y axis? How do you judge them? Can you give me an example. What is f (- x) = - f (x) What is f (x) = f (- x) Why don't you two say the same thing? It's hard to understand