Determine whether the statement is true or false. (a) The greatest integer function pairs each input with

Question:

Determine whether the statement is true or false.
(a) The greatest integer function pairs each input with the greatest integer less than or equal to that input.
(b) In general, for functions f and g, the domain of fog = the domain of gof.
(c) The graph of y = (x - 2)2 is the graph of y = x2 shifted right 2 units.
(d) The graph of y = -x2 is the reflection of the graph of y = x2 across the x-axis.