Question

Which function type would be used to model the inverse function?

A) logarithmic
B) exponential
C) quadratic
D) square root
E) linear

Answer 1

The logarithmic function is used to model the inverse of an exponential function, because they are mathematical inverses of each other.

Step-by-step explanation:

When modeling the inverse of an exponential function, the corresponding function type used would be logarithmic. This is because logarithmic and exponential functions are mathematical inverses of each other. For instance, the natural logarithm (ℓn) undoes the exponential function (ex), such that ℓn (ex) = x and eℓnx = x. Similarly, the base-10 logarithm (ℓog10x) is the inverse of 10 raised to a power (10x). These properties make logarithmic functions ideal for modeling the inverse of exponential growth or decay.