Answer:
D) [0, ~)
Step-by-step explanation:
<u>Domain</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>Function</u><u>:</u>
the domain of a function is the set of values of x, the independent variable, that are responsible for the graph of the function.
<u>For Example:</u>
suppose, we have a function:
<em>f(x) = 3x - 1 </em>
and it's domain is {1, 2, 3}
that means, the corresponding value of f(x) to these 3 values of x will be DEFINED, I.e., they exist and can be plotted on a graph.
<u>The</u><u> </u><u>given</u><u> </u><u>function</u><u>:</u>
Therefore, for the given function, it's domain will be those values of x<em>(the </em><em>ones</em><em> plotted on the horizontal line)</em><em>,</em><em> </em>that give some value to the function ,i.e., for which we can draw it's graph.
and since the graph starts from x = 0 and continues towards infiinity
<em>(the arrow on the curve shows that the graph continues and hasn't yet come to a stop.)</em>
So, that way we got [0, ~). ^^