Question

determine the x- and y-intercepts for the given function. write your answer as an ordered pair.
$s(x)=|x - 3|$
if there is more than one answer, separate your answers with commas. select
one\ if appropriate.
part 1 of 2
x-intercept(s):
part 2 of 2
y-intercept(s):

Explanation:

Step1: Find x-intercept (set $s(x)=0$)

Set $\vert x-3\vert = 0$
Solve for $x$: $x-3=0 \implies x=3$
The x-intercept is the ordered pair $(3, 0)$.

Step2: Find y-intercept (set $x=0$)

Substitute $x=0$ into $s(x)$:
$s(0)=\vert 0-3\vert=\vert -3\vert=3$
The y-intercept is the ordered pair $(0, 3)$.

Answer:

x-intercept(s): $(3, 0)$
y-intercept(s): $(0, 3)$