Amanda, this is the solution to the exercise:
Step 1: Let's calculate the domain for the function given, as follows:
Domain of f(x) = 3 |x - 7| - 7 (-∞, ∞)
Step 2: Let's calculate the Lim of x, this way:
Limx 3 |x - 7| - 7 = ∞
In consequence, the end behavior is:
As x ==> +∞, f(x) ==> +∞
As x ==> -∞, f(x) ==> +∞
The correct answer is B. As x approaches negative infinity, f (x) approaches positive infinity.
