Final answer:
The degree of f(x) = 5 + 7x is 1, and the end behavior is that the function increases without bound as x approaches positive infinity and decreases without bound as x approaches negative infinity.
Step-by-step explanation:
The given function is f(x) = 5 + 7x.
The degree of a polynomial is the highest power of x in the function. In this case, the degree is 1 because the highest power of x is 1.
The end behavior of a function describes the behavior of the function as x approaches positive or negative infinity. Since the degree of the function is 1, the end behavior is determined by the sign of the coefficient of the highest power of x. In this case, since the coefficient is positive, the end behavior is that the function increases without bound as x approaches positive infinity and decreases without bound as x approaches negative infinity.