The boundedness of function y = xsinx Is the function y = xsinx bounded at (0, + infinity)? X is bounded at (- infinity, + infinity)? Why? X tends to + infinity. Is this function infinite? Why?

The boundedness of function y = xsinx Is the function y = xsinx bounded at (0, + infinity)? X is bounded at (- infinity, + infinity)? Why? X tends to + infinity. Is this function infinite? Why?

There is no boundary
Theorem: if we can find m such that y < = m, then y is bounded,
Obviously, when x = 2K π + π / 2, K is infinite (whether positive or negative). Y is infinite
X tends to + infinity. This function is not necessarily infinite
For example, x = 2K π. K is infinite. The above formula is 0

Is the function y = xsinx bounded

There is no boundary
Theorem: if we can find m such that y < = m, then y is bounded,
Obviously, when x = 2K π + π / 2, K is infinite (whether positive or negative). Y is infinite
X tends to + infinity. This function is not necessarily infinite
For example, x = 2K π. K is infinite. The above formula is 0

It is proved that xsinx is an unbounded function on (0, positive infinity)

prove:
Let x = π / 2 + 2K π (K ∈ z)
When k - > ∞
xsinx
=k->∞
So it's an unbounded function

Is the function y = xsinx bounded in (- ∞, + ∞) and why?

If x = π / 2 + 2K π, K tends to infinity, y tends to infinity and unbounded

Is y = pi / 2-arcsinx odd or even

y=π/2-arcsinx=arccosx
Obviously, this is a non odd and non even function

Is the function y = 2 x power + 2 / 1 X-1 odd or even?

Let 2 ^ X be the x power of 2
f(x)=[2^x－1]/[2^x＋1]
1. The definition domain is r;
2、f(－x)=[2^(－x)－1]/[2^(－x)＋1]
=[1－2^x]/[1＋2^x]
=－[1－2^x]/[2^x＋1]
=－f(x)
Then the function f (x) is an odd function

Is the - 2 power of y = x odd function or even function? Why? How to draw the image? Given how a function draws an image, give an example~

Even function, because FX = F-X, you can take the description point to reach the function, for example, you can calculate the function value when x is 1,2,3, - 1, - 2, - 3, and then draw these points on the coordinates, and then you can draw pictures by connecting lines. You have to draw graphs according to the functions, such as primary function, quadratic function, hyperbolic function, etc,

The function y = xsinx + cosx is the interval of increasing function A (PI in 2. 3T 2) B (π, 2 π) C (3 π in 2, 5 π in 2) d (2 π, 3 π)

Derivative of function y '= cosx
If it is an increasing function, y '> = 0 and y' is not equal to 0
5, π

Find the monotone interval of the function y = xsinx + cosx, X ∈ (- π, π)

y'=sinx+xcosx-sinx=xcosx
x∈(-π,π)
- pi

Is the two-thirds power of y = x odd or even

even
The square of X under y = root 3
So whether x is positive or negative squared, it's positive
To the third power
So I