Find the domain and range of the piecewise defined function: $$f ( x ) = \left\{ \begin{array} { c c } - 1 & x \leq - 5 \ \frac { 1 } { x } & - 5

Question

Find the domain and range of the piecewise defined function: $$f ( x ) = \left\{ \begin{array} { c c } - 1 & x \leq - 5 \ \frac { 1 } { x } & - 5 < x < 5 \ x - 5 & x > 5 \end{array} \right.$$ A) Domain: $( - \infty , \infty )$ Range: $( - \infty , \infty )$ B) Domain: $( - \infty , 5 ) \cup ( 5 , \infty )$ Range: $( - \infty , \infty )$ C) Domain: $( - \infty , 0 ) \cup ( 0,5 ) \cup ( 5 , \infty )$ Range: $[ 0 , \infty )$ D) Domain: $( - \infty , 0 ) \cup ( 0,5 ) \cup ( 5 , \infty )$ Range: $\{ - 1 \} \cup [ 0 , \infty )$

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The Answer of Find the domain and range of the piecewise defined function: $$f ( x ) = \left\{ \begin{array} { c c } - 1 & x \leq - 5 \ \frac { 1 } { x } & - 5 < x < 5 \ x - 5 & x > 5 \end{array} \right.$$ A) Domain: $( - \infty , \infty )$ Range: $( - \infty , \infty )$ B) Domain: $( - \infty , 5 ) \cup ( 5 , \infty )$ Range: $( - \infty , \infty )$ C) Domain: $( - \infty , 0 ) \cup ( 0,5 ) \cup ( 5 , \infty )$ Range: $[ 0 , \infty )$ D) Domain: $( - \infty , 0 ) \cup ( 0,5 ) \cup ( 5 , \infty )$ Range: $\{ - 1 \} \cup [ 0 , \infty )$

Find the Domain and Range of the Piecewise Defined Function f(x)={−1x≤−51x−5<x<5x−5x>5f ( x ) = \left\{ \begin{array} { c c } - 1 & x \leq - 5 \\\frac { 1 } { x } & - 5 < x < 5 \\x - 5 & x > 5\end{array} \right.f(x)=⎩⎨⎧​−1x1​x−5​x≤−5−5<x<5x>5​

Find the Domain and Range of the Piecewise Defined Function $f ( x ) = \left\{ \begin{array} { c c } - 1 & x \leq - 5 \\\frac { 1 } { x } & - 5 < x < 5 \\x - 5 & x > 5\end{array} \right.$