Answer
Domain: $(-\infty, +\infty)$
Range: $(0, \infty)$
$y$-intercept = $0.25$
Refer to the graph below.
Work Step by Step
To graph the given function, perform the following steps:
(1) Create a table of values by assigning values to $x$ then solving for the corresponding $y$-value for each $x$. (Refer to the table in the attached image below.)
(2) Plot each point (ordered pair) and connect them using a smooth curve. Note that the function has $y=0$ or the $y$-axis as its horizontal asymptote.
(Refer to the graph above.)
The graph shows that the function $y=\frac{1}{4}(10)^x$ has:
(i) Domain: $(-\infty, +\infty)$
(ii) Range: $(0, \infty)$
(iii) $y$-intercept = $0.25$
