Question

The function f(x)= negative square root negative x is shown on the graph?

Answer 1

Note that the domain of a function whose graph is shown is the projection of the graph into the x-axis.

So, if we projected (or mapped) the graph to the x-axis, the whole negative x-axis, + 0, would be 'colored in blue'. So, the domain is  (-∞, 0].

Similarly, the range is found by mapping into the y-axis. So, we see that the range of the function is (-∞, 0], as the whole negative y-axis, +0, would be colored in blue.


The only right answer is: the domain and the range of the function are the same.