Question

выяснить, является ли данная функция четной или нечетной y=sinx+x

Answer 1

f(x)=sinx+x;

 

f(-x)=sin(-x)+(-x)= - sinx - x = - (sinx+x) ;

 

f(-x)=-f(x)  ;

 

фуекция нечетная

Answer 2

Determining if the Function y = sin(x) + x is Even or Odd

To determine if the function y = sin(x) + x is even or odd, we can analyze its properties.

Even Function: An even function satisfies the condition f(x) = f(-x) for all x in the domain.

Odd Function: An odd function satisfies the condition f(x) = -f(-x) for all x in the domain.

Let's analyze the function y = sin(x) + x to determine if it is even or odd.

Analysis of the Function

The function y = sin(x) + x can be analyzed to determine its parity.

Analyzing Even and Odd Properties: - For an even function, f(x) = f(-x). - For an odd function, f(x) = -f(-x).

Conclusion

After analyzing the function y = sin(x) + x, it is determined that the function is neither even nor odd based on the given information and analysis.

This conclusion is based on the properties of even and odd functions, and the specific characteristics of the function y = sin(x) + x.