Find the maximum and minimum values of the function g (x) = 2Sin (x - π / 3) in the interval [0, π] Such as the title

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• 1. Find the maximum and minimum value of the function y = - 2Sin (x + π / 6) + 3 in the following interval and the corresponding value of X (1) r, (2) [0, π] (3) [π / 2, π / 2]
• 2. If the even function f (x) defined on R has f (x2) - f (x2) / x2-x1 < 0 for any X1 x2 ∈ [0, + ∞) (x1 is not equal to x2), then a f (3) < f (- 2) < f (1) B F (1) < f (- 2) < f (3) C f (- 2) < f (1) < f (3) d f (3) < f (1) < f (- 2)
• 3. The even function f (x) defined on R satisfies that for any x 1, x 2 belongs to [0, positive infinity] (x 1 ≠ x 2), if (f (x 2) - f (x 1)) / (x 2-x 1), then () A.f(3)＜f（-2）＜f（1） B.f(1）＜f(-2)＜f(3) C.f(-2)＜f(1)＜f(3) D.f(3)＜f(1)＜f(-2）
• 4. Given the function f (x) = x2-4, if f (- m2-m-1) < f (3), then the value range of real number m is () A. （-2，2）B. （-1，2）C. （-2，1）D. （-1，1）
• 5. Find the necessary and sufficient condition that all the images of the function f (x) = (M2 + 4m-5) x2-4 (m-1) x + 3 are above the x-axis M ＜ 1 or m ＞ 4 1 ≤ m ＜ 19, the intersection should be 4 ≤ m ＜ 19, why not
• 6. Given that the function f (x) = the third power of 1 / 3 * x + the square of M * x, where m is a real number, (1) the tangent slope of function FX at X-1 is 1 / 3, find the value of M, find the process
• 7. Given that the increasing function of function f (x) = x to the second power-2ax-3 is [1, + ∞), then the value of real number a is
• 8. How to judge the monotonicity of function with derivative
• 9. Using function derivative to judge function monotonicity It is known that: in general, if f '(x) is zero at a finite number of points in an interval and is positive (or negative) at the other points, then f (x) is still monotonically increasing (or decreasing) in the interval. Correct. Is it correct if f' (x) does not exist at a finite number of points in an interval?
• 10. If the derivatives of F (x) on the left and right sides of x0 are different, is x0 the extreme point of F (x)
• 11. Find the period, monotone interval, maximum and minimum of the function y = 2Sin (π / 3x-2 / 5 π x), and take the maximum and minimum The set of values of X.
• 12. 3. Given that the minimum value of function f (x) = 2sinwx in the interval [- 60 degrees, 45 degrees] is - 2, then the value range of W is? Our teacher gave us two formulas 60 degrees > t / 4 45 degrees > t / 4 T=2π/w But I don't know who can explain
• 13. The function f (x) is known to satisfy f (a + b) = f (a) + F (b) - 6 for any real number a, B ∈ R. when a > 0, f (a)
• 14. Let f (x) be a function defined on R, if f (0) = 2010, and for any x ∈ R, f (x + 2) - f (x) ≤ 3.2X, f (x + 6) - f (x) ≥ 63.2x, then f (2010)=______ ．
• 15. Let x 1x 2 be a quadratic equation of one variable with respect to X. x (square) - 2 (m-1) x + m + 1 = 0. Two real roots are obtained. Y = x 1 + x 2 (both have squares). The analytic trial and range of y = f (m) are obtained
• 16. It is known that the zero point of function f (x) = | X-1 | ^ 3-2 ^ | X-1 | (the intersection of function and X axis) has four X1 x2 x2 x3x4 Then f (x1 + x2 + X3 + x4) =?
• 17. It is known that the zero point of function f (x) = | X-1 | ^ 3-2 ^ | X-1 | (the intersection of function and X axis) has four zeros X1 x2 x2 x3x4 Find f (x1 + x2 + X3 + x4) = how many, do not copy the answer, I want to know how to find the function about where symmetry
• 18. Given the function f (x), for X ∈ R, f (4-x) = f (x). If f (x) has exactly four unequal zeros x1, X2, X3, x4, then X1 + x2 + X3 + X4=
• 19. It is proved that the necessary and sufficient condition for f (x) to be bounded in (a, b) is that f (x) has both upper and lower bounds in (a, b)
• 20. To prove that a function is bounded, must its upper and lower bounds be opposite to each other