If the domain of F (X & # 178;) is [1,2], what is the domain of F (x)

If the domain of F (X & # 178;) is [1,2], what is the domain of F (x)

The definition field of F (X & # 178;) is [1,2], that is, the value range of X is [1,2]. If u = x & # 178;, then the value range of u is [1,4], that is to say, the definition field of F (U) is [1,4], and the definition fields of F (x) and Fu) are the same

f(x)=-x^3+x
The maximum value of G (x) = MF (x) + F '(x) on X ∈ [0,2] is 1. Find the range of M
Follow up:
A (x1, Y1) B (X2, Y2) is two points on f (x) image and - 2

First, the derivation,
Then change the function H (x) = g (x) - 1,
When h (x) is 0 to 2, take the maximum value as 0 and factorize it

Monotone interval of mathematical function
Monotone interval of - 2 / 3 degree of y = (x-1)

When x > 1, the decreasing function

Draw the image of the following functions, and according to the image, tell the monotone interval of the function y = f (x), and whether the function y = f (x) is an increasing or decreasing function on each monotone interval. (1) y = x2-5x-6; (2) y = 9-x2

(1) The function y = x2-5x-6, x = 2.5 is the axis of symmetry, and the image is as shown in the figure. From the image, we can get that the function is a decreasing function at (- ∞, 2.5) and an increasing function at [2.5, + ∞). (2) the function y = 9-x2. The Y axis is the axis of symmetry, and the image is as shown in the figure. From the image, we can get that the function is an increasing function at (- ∞, 0) and a decreasing function at [0, + ∞)

Known inequality / 2x-t / + T-1

|2x-t|