Which statement describes the end behavior of the function f\left(x\right)=\frac{1}{7}\left(x-4\right)+^3?

A.) As x approaches negative infinity, f(x) approaches negative infinity.
B.) As x approaches negative infinity, f(x) approaches positive infinity.
C.) As x approaches positive infinity, f(x) approaches negative infinity.
D.) As x approaches positive infinity, f(x) is no longer continuous.