Respuesta :
Answer:
Option C.
Step-by-step explanation:
Let as consider f(x) is a function.
If [tex]f(-x)=f(x)[/tex], then f(x) is even function.
If [tex]f(-x)=-f(x)[/tex], then f(x) is odd function.
It means, if (x,y) is a point of the function, then (-x,-y)is also a point of the function.
In option A, (-5,3) is a point of the function, but (5,-3) is not a point of the function.
So, function in option A is not an odd function.
In option B, (-4,2) is a point of the function, but (4,-2) is not a point of the function.
So, function in option B is not an odd function.
In option C,
If (-4,0) is a point of function, then (4,0) is also the point of the function.
Similarly, (-3,1) and (3,-1), (-2,-3) and (2,3), (-1,-2) and (1,2) are points of the function.
So, function in option C is an odd function.
In option D, (-4,3) is a point of the function, but (4,-3) is not a point of the function.
So, function in option D is not an odd function.
Answer:
C.
Step-by-step explanation:
Just took it. Edg 2020. Hope this helps :)