Question

determine the x- and y-intercepts for the given function. write your answer as an ordered pair.\\( f(x)=sqrt{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 $f(x)=0$

Set $\sqrt{x} - 3 = 0$

Step2: Isolate the square root term

$\sqrt{x} = 3$

Step3: Solve for $x$ by squaring both sides

$x = 3^2 = 9$
The x-intercept is the ordered pair $(9, 0)$.

Step4: Find y-intercept: set $x=0$

$f(0) = \sqrt{0} - 3 = 0 - 3 = -3$
The y-intercept is the ordered pair $(0, -3)$.

Answer:

x-intercept(s): $(9, 0)$
y-intercept(s): $(0, -3)$