Question

Determine the domain and the range of the function. Hint graphing it might help f(x) = x 2 + 8x + 16A. domain: all real numbersrange: y ≥ 16B. domain: x ≥ 4range: y ≥ 0C. domain: x ≥ -4range: yD. domain: all real numbersrange: y

Answer 1

Answer:

Domain: all real numbers

Range: y ≥ 0

Step-by-step explanation:

The given function is:

`f(x)=x^2+8x+16`

The graph of the function is plotted below

By careful observation of the graph above:

The domain of f(x) = (-∞, ∞)

That is, the domain is a set of all real numbers

There are no negative values of y on the graph. The range is a set of all positive real numbers.

The range of f(x) = [0, ∞)

Option D is the only correct choice

Domain: all real numbers

Range: y