# Chapter 1 - Precalculus Review - 1.1 Real Numbers, Functions, and Graphs - Exercises - Page 10: 44

Domain: $t\leq 2$ Range: All real numbers.

#### Work Step by Step

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.

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