Answer
x-intercept: $1,$
y-intercept: $-\displaystyle \frac{1}{4}$
Work Step by Step
The y- intercept is the value $r(0)$, if defined.
$r(0)=\displaystyle \frac{0-1}{0+4}=-\frac{1}{4}$
The x intercepts are values of x where $r(x)=0.$
$r(x)=0$ occurs when the numerator equals 0.
The numerator is zero for
$x-1=0$
$x=1$