Question

Graph the square root functions f(x)=x−2−−−−√
and g(x)=2−x−−−−√
. Which function has a y
-intercept? Enter the correct option number.

Option 1: f(x)

Option 2: g(x)

Option 3: bothf(x)
and g(x)

(1 point)

Answer 1

Option 2.

Reason: f(x)=√(x−2) has domain x≥2, so x=0 is not allowed (no y-intercept). g(x)=√(2−x) has domain x≤2, so x=0 is allowed and g(0)=√2 (y-intercept at (0,√2)).