Final answer:
Yes, the function f(x) = (-7)^x is an exponential function with a base of -7.
Step-by-step explanation:
Yes, the function f(x) = (-7)^x is an exponential function. An exponential function is a function in which the independent variable, in this case 'x', appears in the exponent.
The base of the exponential function is the constant value that is raised to the power of 'x'. In this case, the base is -7, since -7 is being raised to the power of 'x'.
For example, if we substitute different values for 'x', we can calculate the corresponding values of the function f(x). For x = 0, f(x) = (-7)^0 = 1; for x = 1, f(x) = (-7)^1 = -7; and so on. The base of -7 remains constant in all these calculations.