Determine the x- and y-intercepts for the given function.
-$$f ( x ) = \sqrt { x } - 2$$
A) $x$-intercept: $( - 2,0 ) ; y$-intercept: $( 0,4 )$
B) $x$-intercept: $( - 2,0 ) ; y$-intercepts: $( 0 , - 4 )$ and $( 0,4 )$
C) $x$-intercepts: $( - 4,0 )$ and $( 4,0 ) ; y$-intercept: $( 0 , - 2 )$
D) $x$-intercept: $( 4,0 ) ; y$-intercept: $( 0 , - 2 )$

Question

Quizplus · Accepted Answer

To find the x-intercept, set $f(x) = 0$: $0 = \sqrt{x} - 2$, solving gives $x = 4$, so the x-intercept is $(4,0)$. For the y-intercept, set $x = 0$: $f(0) = \sqrt{0} - 2 = -2$, so the y-intercept is $(0, -2)$.

Determine the X- and Y-Intercepts for the Given Function f(x)=x−2f ( x ) = \sqrt { x } - 2f(x)=x​−2

Determine the X- and Y-Intercepts for the Given Function $f ( x ) = \sqrt { x } - 2$