Question

Find the Domain: Show all steps h(x)=2(x+5)^2-5

Answer 1

Answer:

The domain is all real numbers (see the explanation)

Step-by-step explanation:

we have

$h(x)=2(x+5)^2-5$

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