The definition and range of function y = - 2cosx + 1

The definition and range of function y = - 2cosx + 1


The domain of definition is (- ∞, + ∞)
∵-1≤cosx≤1
∴-2≤-2cosx≤2
∴-2+1≤-2cosx+1≤2+1
∴-1≤-2cosx+1≤3
That is - 1 ≤ y ≤ 3
The value range is [- 1,3]



1. If the function y = (2x + 1) x + B is a decreasing function on R, then the value range of K is?
2. The function f (x) is known to be a decreasing function on (- 2,2), f (m) + F (2 + m)


(1) I can't understand the expression
(2)-4



Parity and periodicity of high school mathematics function
Given that y = f (2x + 1) is an even function, then the symmetry axis equation ()
A X=-1 B X=1 C X=-1/2 D X=1/2
Kiss, be sure to write why, multiple choice questions if it is Meng then meaningless


F (2x + 1) is an even function, which means that the axis of symmetry of F (2x + 1) is x = 0
F [2 (x + 1 / 2)] is equivalent to shifting the image of F (2x) by 1 / 2 to the left
So the image of y = f (2x) + 1 is to shift the image of y = f (2x + 1) to the right by 1 / 2, and then up by 1
Its axis of symmetry is x = 1 / 2
Select D