Find the domain of the function. $q ( w ) = \sqrt { 1 - w ^ { 2 } }$
A)-1 $\le$ w $\le$1
B)w $\le$-1 or w$\ge$ 1
C)w $\ge$ 0
D)w $\le$1
E)all real numbers

Question

Find the domain of the function. $q ( w ) = \sqrt { 1 - w ^ { 2 } }$
A)-1 $\le$ w $\le$1
B)w $\le$-1 or w$\ge$  1
C)w $\ge$  0
D)w $\le$1
E)all real numbers

Quizplus · Accepted Answer

The domain of $q(w) = \sqrt{1 - w^2}$ is all $w$ values for which $1 - w^2 \geq 0$, which simplifies to $-1 \leq w \leq 1$. This is because the expression inside the square root must be non-negative for the function to have real values.

Find the Domain of the Function q(w)=1−w2q ( w ) = \sqrt { 1 - w ^ { 2 } }q(w)=1−w2​

Find the Domain of the Function $q ( w ) = \sqrt { 1 - w ^ { 2 } }$