Answer :

The function f(x) = c is a CONSTANT function, represented by a horizontal line of the form y = c.

Therefore, when we use the verification for Even function: f(x) = f(-x), we get that it is TRUE (since the value of the function is always "c" no matter what value of x we pick):

f(x) = c

f(-x) = c

Then, this is an even function, and therefore has symmetry around the vertical y-axis.

The line of symmetry is the y-axis itself.

The function is NOT ODD, since it doesn't verify the condition for odd function:

f(x) = - f(-x)

because:

f(x) = c

- f(-x) = - c

and c doesn't equal "-c"