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If the function y = (x ^ 4 + x ^ 2 + 5) / (x ^ 2 + 1) ^ 2 is reduced to y = 5 (1 / (x ^ 2 + 1) - 1 / 10) ^ 2 + 19 / 20, and a = 1 / (x ^ 2 + 1), then the value range of a is (0,1]. Therefore, when a = 1 / 10, that is, x = 3 or - 3, y is the smallest and 19 / 20. When a = 1, that is, x = 0, y is the largest and is 5

Let a be greater than 0, when - 1 is less than or equal to X and less than or equal to 1, the minimum value of the function y = - x ^ 2-ax + B + 1 is - 4 and the maximum value is 0 I know that the axis of symmetry is negative, so when x = 1, the minimum value is - 4, but the answer is x = - 1, the minimum value is 0, which I don't understand The wrong number is when - 1 is greater than or equal to X and less than or equal to 1

y=-x^2-ax+b+1=-[x+(a/2)]^2+b+1+(a^2)/4
When - A / 2 ≤ - 1, that is, a ≥ 2, the function y = - x ^ 2-ax + B + 1 obtains the maximum value 0 at x = - 1 and the minimum value - 4 at x = 1. At this time - 1 + A + B + 1 = 0 and - 1-A + B + 1 = - 4, a = 2 and B = - 2 can be obtained
When 0 > - A / 2 > - 1, it is 0

It is known that the function f (x) is equal to 2Sin (1 / 3x minus 6), and X belongs to r to find the value of F (5 / 4 π)

f(5π/4)=2sin(5π/12-π/6)=2sin(3π/12)=2sin(π/4)=√2

The function y = SiNx 2+ 3cosx An equation of symmetry axis for the image of 2 is () A. x=11 3 pi B. x=5π Three C. x=−5π Three D. x=−π Three

According to the sum difference formula, y = SiNx
2+
3cosx
2=2( 1
2sinx
2+
Three
2cosx
2)=2sin(x
2+π
3),
The symmetry axis of y = SiNx is y = k π + 1
2π,k∈Z,
Let x
2+π
3=kπ+1
2π,
X = 2K π + π
3, and K ∈ Z
Obviously C is right
Therefore, C

In an axisymmetric graph, the points on both sides of the symmetry axis are opposite to ()

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The function y = | SiNx | the symmetric axis equation of the image is

Look at the image
Turn up all the SiNx under the x-axis
T=π
The axis of symmetry is
kπ (k∈Z)

Is the image of the inverse scaling function y = K / X an axisymmetric graph? If so, how many symmetry axes does it have? Can you write the expression of the symmetry axis? Please give proof It has to be proved!

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The definition domain of LG (2cosx + 1) + root sign SiNx

The definition domain should meet the following requirements:
2cosx+1>0 ==> cosx>-1/2 ==> 2kπ-2π/3 2kπ=

Sine function y = SiNx What are the meanings of K of the maximum value, monotonicity, axis of symmetry and center of symmetry respectively How to find K when solving problems

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Let SiNx = 0, then x = k π, k = 0,1,2,3,4. All (K π, 0) points are symmetric centers,