Answer:
Domain ⇒ All Real Numbers, Range ⇒ y < 0; Option D
Explanation:
Take a look at the procedure below;
First simplify f ( x ) = - 4 * ( 8 )^x, such that it is ⇒
f ( x ) = - 2^2 * 8^x,
f ( x ) = - 2^2 * ( 2^3 )^x,
f ( x ) = - 2^2 * 2^3x,
f ( x ) = - 2^2 + 3x,
Now if we take a look at the domain we can see that it has no undefined points nor domain constraints, thus;
- ∞ < x < ∞
However, the range of the function is present in the form - c * n^ax + b, where f ( x ) < k, and k = 0;
f ( k ) < 0, y < 0
Solution; Domain ⇒ All Real Numbers, Range ⇒ y < 0; Option D