Domain is the what x-values are displayed by the graph. It can be displayed as an inequality or in interval notation. For this one, it is simply all real numbers or the fancy symbol for all rational numbers (it's a fancy capital R).
Range is the what y-values are displayed by the graph. It can be displayed as an inequality or in interval notation.
Inequality-
Interval Notation-
[2, infinity symbol)
A bracket shows inclusive (includes) vs a parenthesis is exclusive (does not include).
Y-intercept is the point at which the function crosses the y-axis. The x will always be 0. For this function, it is (0,2).
Root(s) are the x-intercepts or points at which the function crosses the x-intercept. This function never crosses the x-axis, so there are none.