Find the range of the function f(x, y) = $\sqrt { x - y ^ { 2 } }$ .
A) $( 0 , \infty )$
B) $[ 0 , \infty )$
C) $( - \infty , 0 )$
D) $( - \infty , \infty )$
E) $( 1 , \infty )$
F) $[ 1 , \infty )$
G) $( \sqrt { 2 } , \infty )$
H) $[ \sqrt { 2 } , \infty )$

Question

Find the range of the function f(x, y) = $\sqrt { x - y ^ { 2 } }$ .
A) $( 0 , \infty )$ 
B) $[ 0 , \infty )$ 
C) $( - \infty , 0 )$ 
D) $( - \infty , \infty )$
E) $( 1 , \infty )$ 
F) $[ 1 , \infty )$ 
G) $( \sqrt { 2 } , \infty )$ 
H) $[ \sqrt { 2 } , \infty )$

Quizplus · Accepted Answer

The square root function outputs values from 0 to infinity, inclusive of 0, because the square root of 0 is 0 and the square root of any positive number is defined and positive.

Find the Range of the Function F(x, Y) = x−y2\sqrt { x - y ^ { 2 } }x−y2​

Find the Range of the Function F(x, Y) = $\sqrt { x - y ^ { 2 } }$