Determine the domain of f.
-$f ( x ) = \left\{ \begin{array} { l l } 2 x & \text { if } x \neq 0 \ 5 & \text { if } x = 0 \end{array} \right.$
A) $( - \infty , 0 ]$
B) $( \infty , \infty )$
C) $[ 0 , \infty )$
D) $( - \infty , 0 ) \cup ( 0 , \infty )$

Question

Quizplus · Accepted Answer

The function is defined for all real numbers, including $x = 0$, where it takes a specific value (5). For $x \neq 0$, it is defined as $2x$, which is also valid for all real numbers except 0, but since 0 is included with a specific value, the entire real line is covered.

Determine the Domain of F f(x)={2x if x≠05 if x=0f ( x ) = \left\{ \begin{array} { l l } 2 x & \text { if } x \neq 0 \\ 5 & \text { if } x = 0 \end{array} \right.f(x)={2x5​ if x=0 if x=0​

Determine the Domain of F $f ( x ) = \left\{ \begin{array} { l l } 2 x & \text { if } x \neq 0 \\ 5 & \text { if } x = 0 \end{array} \right.$