Question

I don’t know how to do question 3

Answer 1

Answer:

The function y = -x whose reflection in the line y =x is itself.

Step-by-step explanation:

A reflection that maps every point of a figure to an image across a fixed line. Then the fixed line is called the line of reflection.

The reflection of the point (x,y)  in the line y = x is the point (y, x).

Therefore, the  function y = -x  whose  reflection in the line y =x is itself.

Symmetries of the function f(x)= -x is:    

A function symmetric with respect to the y-axis is called an even function.

If f(-x) = f(x)

A function that is symmetric with respect to the origin is called an odd function.

if f(-x) = -f(x)

then, we must look at f(-x);

f(x) = -x

f(-x)= -(-x)= x = -f(x)

this function is symmetrical to with respect to origin.

Therefore, this function is an odd function.