You are reviewing a financial decay model for asset depreciation that uses the function $f(x) = \left(\frac{1}{4}\right)^x$. When you plot the data points to visualize this model, what key graphical characteristics should you recall about the resulting curve?

A laboratory technician is graphing the function f(x) = \left(\frac{1}{4} ight)^x to model the rate at which a cooling substance loses heat over time. True or False: The graph of this function will intersect the $y$-axis at the point (0, 1).

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A technical analyst is preparing a graph of the decay function {}f(x) = \left(\frac{1}{4} ight)^x to include in a system performance report. Based on the point-plotting method and the specific characteristics of this function described in your training, arrange the following steps in the correct chronological order to produce an accurate graph.

A facilities maintenance technician at a manufacturing plant is graphing the remaining concentration of a chemical solvent after filtration. The concentration after $x$ filtration cycles is modeled by the exponential decay function $f(x) = \left(\frac{1}{4}\right)^x$. When preparing the quality control chart, the technician recalls that because the base $a = \frac{1}{4}$ satisfies the condition ${}0 < a < 1$, the plotted curve will always slope ____ from left to right.

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