Answer
$x$-intercept: $-\dfrac{1}{4}$
$y$-intercept: $1$
Work Step by Step
$r(x)=\dfrac{x-1}{x+4}$
Substitute $f(x)$ by $y$:
$y=\dfrac{x-1}{x+4}$
To find the $y$-intercept, set $x$ equal to $0$ and solve for $y$:
$y=\dfrac{0-1}{0+4}=\dfrac{-1}{4}=-\dfrac{1}{4}$
To find the $x$-intercept, set $y$ equal to $0$ and solve for $x$:
$0=\dfrac{x-1}{x+4}$
$(0)(x+4)=x-1$
$x-1=0$
$x=1$
$x$-intercept: $-\dfrac{1}{4}$
$y$-intercept: $1$
