In a corporate equipment assessment, the depreciation of a machine's value over time is modeled by the exponential function $f(x) = a^x$. If the base $a$ is a value between zero and one (specifically ${}0 < a < 1$), which of the following best describes the general shape of the function's graph?

An insurance company uses the exponential function $f(x) = a^x$ to model the declining risk level of a policy over a period of $x$ years. True or False: If the base $a$ is a value between zero and one (${}0 < a < 1$), the graph of this function will increase from left to right.

In a corporate financial report, the declining resale value of industrial machinery is modeled by the exponential function $f(x) = a^x$. If the base $a$ is a value between zero and one (${}0 < a < 1$), the graph representing this value will ________ as the $x$-values increase from left to right.

A corporate data analyst is evaluating several mathematical models of the form $f(x) = a^x$ to track various company performance trends. Match each component or characteristic of the model where the base $a$ is between zero and one (${}0 < a < 1$) with its correct description.

Visualizing Legacy Software Phase-Out