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.

(1 point)

both f(x) and g(x)

f(x)

g(x)

Answer 1

3 — g(x)

Reason: f(0)=√(0−2) is not real (domain x≥2), while g(0)=√(2−0)=√2, so g has the y-intercept (0,√2).