Determine the domain of f.
-$f ( x ) = \left\{ \begin{array} { l l } 1 & \text { if } - 6 \leq x

Question

Determine the domain of f.
-$f ( x ) = \left\{ \begin{array} { l l } 1 & \text { if } - 6 \leq x < - 3 \ | x | & \text { if } - 3 \leq x < 6 \ \sqrt { x } & \text { if } 6 \leq x \leq 29 \end{array} \right.$
A) $[ - 6,29 ]$
B) $[ 6,29 ]$
C) $[ - 6,6 ) \cup ( 6,29 ]$
D) $[ - 6 , \infty )$

Quizplus · Accepted Answer

The domain of $f(x)$ is the set of all $x$ values for which $f(x)$ is defined. The function is defined in three intervals: $[-6, -3)$, $[-3, 6)$, and $[6, 29]$. Combining these intervals gives the continuous interval $[-6, 29]$, which means the function is defined for all $x$ in this range.

Determine the Domain of F A) [−6,29][ - 6,29 ][−6,29] B) [6,29][ 6,29 ][6,29]

Determine the Domain of F A) $[ - 6,29 ]$ B) $[ 6,29 ]$