what is the correct answer

Answer:
B. As x approaches negative infinity f(x) approaches positive infinity
Step-by-step explanation:
The given absolute value function is [tex]f(x)=3|x-7|-7[/tex].
This function has its vertex at (7,-7) and opens upwards.
That means it has a V-shape.
As the values of x grows bigger and bigger negatively or positively, the function f(x) approaches positive infinity.
In other words;
As x approaches positive infinity f(x) approaches positive infinity
As x approaches negative infinity f(x) approaches positive infinity
The correct choice is B.