# Chapter 2 - Section 2.2 - Graphs of Functions - Exercise Set: 33

Domain: $[0, +\infty)$ Range: $[1, +\infty)$

#### Work Step by Step

Some important observations about the graph: (i) The lowest point is at $(0, 1)$. (ii) The graph is increasing from left to right (without a bound on the right). The domain is the set that contains all the x-values of a function. The x-values included in the given function are all the real numbers greater than or equal to 0 Thus, domain of the given function is $[0, +\infty)$. The range of a function is the set of y-values. Notice that the y-values included in the graph of the function are all real numbers greater than or equal to $1$ Thus, the range of the function is $[1, +\infty)$.

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