Answer:
Domain: [tex](-\infty,\infty)[/tex]
Range: [tex][-5,\infty)[/tex]
C
Step-by-step explanation:
Please refer to the graph.
Recall that the domain is the span of x-values covered by the graph, while the range is the span of y-values covered by the graph.
So we have the equation.
[tex]y=(x+3)^2-5[/tex]
This is a quadratic.
The domain of a quadratic is all real numbers. If you look at the graph, we can also see that the x-values will go on infinitely in both direction.
In interval notation, this is:
[tex](-\infty,\infty)[/tex]
For the range, note that the lowest the parabola goes is y=-5.
Therefore, our range is all values greater than or equal to -5.
In interval notation, this is:
[tex][-5,\infty)[/tex]
Note that we use brackets for the -5 because it is included in our range.
So, our answer is C
