Final answer:
The exponential function f(x) = bx^c, with b > 1, is increasing as x approaches infinity. The logarithmic function f(x) = log_b(x) + c, with b > 1, is also increasing as x approaches infinity. Hence, the answer is Logarithmic, Increasing.
Step-by-step explanation:
If an exponential function is of the form f(x) = bx^c, and b > 1, then it is increasing as x approaches infinity. For the exponential function, as x increases, the power to which the greater-than-one base is raised also increases, resulting in the entire expression increasing without bound. Thus, the complete function tends toward infinity as x gets larger.
If a logarithmic function is of the form f(x) = log_b(x) + c, and b > 1, then it is increasing as x approaches infinity. This is because logarithms with bases greater than one will increase as the input value x increases, albeit at a decreasing rate. Nevertheless, the output of the function will continue to grow without bound as x approaches infinity.
Therefore, the correct option is C) Logarithmic, Increasing.