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):

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

$x = 3^2 = 9$

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

$f(0) = \sqrt{0} - 3 = -3$

Answer:

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