Answer
Refer to the image below for the graph.
The graph of $f(x)$ is orange, the graph of the parent function is blue.
Work Step by Step
RECALL:
The graph of the function $f(x) = a^{-x}$ involves a reflection about the y-axis of the parent function $y = a^x$.
The given function $f(x) = 10^{-x}$ has its parent function $y = 10^x$.
The graph of the given function is a reflection about the y-axis of the parent function.
Thus, to graph the given function, perform the following steps:
(1) Graph the parent function $y = 10^x$ by creating a table of values then connecting the points using a smooth curve.
(refer to the attached table below, the graph is attached in the answer part above)
(2) Draw the graph of $f(x)$by reflecting the points of the parent function about the y-axis. This can be achieved by plotting the negative (or opposite sign) of each x-value of the parent function while retaining the y-value (e.g., if (1, 10) is in the parent function, (-1, 10) is in f(x)).
The graph of $f(x)$ is orange, the graph of the parent function is blue.
(refer to the attached image in the answer part above for the graph)