## Calculus (3rd Edition)

Domain: $t\leq 2$ Range: All real numbers.
Because we can only take the square root of values that are 0 or greater, we set $\sqrt (2-t) \geq 0$ Square both sides to get $2-t \geq 0$, then add t to both sides to get $t \leq 2$. The range of a square root function is all real numbers, because the root of the function includes both positive and negative values.