Question

Identify the domain of the function shown in the graph.

Answer 1

D. because that is a square root function, which can include zero.

Answer 2

We can observe that the graph extends horizontally from \displaystyle -5−5 to the right without bound, so the domain is \displaystyle \left[-5,\infty \right)[−5,∞). The vertical extent of the graph is all range values \displaystyle 55 and below, so the range is \displaystyle \left(\mathrm{-\infty },5\right](−∞,5]. Note that the domain and range are always written from smaller to larger values, or from left to right for domain, and from the bottom of the graph to the top of the graph for range.