Answer
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 $[1, +\infty)$.