Answer:
The domain is all real numbers (see the explanation)
Step-by-step explanation:
we have
[tex]h(x)=2(x+5)^2-5[/tex]
This is a vertical parabola open upward (the leading coefficient is positive)
The vertex represent a minimum
The vertex is the point (-5,-5)
we know that
The domain of a function is the set of all possible values of x
The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.
In this problem
The domain is the interval (-∞,∞)
The domain is all real numbers
The range is the interval [-5,∞)
All real numbers greater than or equal to -5
