Find the values for which the statement is true and mark them on the number line: |x|=x

The function f(x) = IxI works as follows:

if x ≤ 0, then IxI = -x

if x ≥ 0, then IxI = x

notice that if x = 0, then I0I = 0 = -0

Now, we want that:

IxI = x

Then we have that x must be greater or equal than zero:

x ≥ 0.

To represent it in the number line, you should use a black dot in the zero an shade all the right region:

__-2__-1__0__1__2__3__4__5__6__

the answer is d

the answer is in the first quadrant, which make the y-int positive.

since the dots are going down, therefore the correlation is negative

i hope it is right.