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A) Domain (,2)( - \infty , 2 ) Range (,2)[6,]( - \infty , 2 ) \cap [ 6 , \infty ]

Question 81

Multiple Choice

 Determine the domain and range of the function f(x) ={3x+2,x<03x+6,x0\text { Determine the domain and range of the function } f ( x ) = \left\{ \begin{array} { l } 3 x + 2 , x < 0 \\3 x + 6 , x \geq 0\end{array} \right. \text {. }


A) domain: (,2) ( - \infty , 2 )
range: (,2) [6,]( - \infty , 2 ) \cap [ 6 , \infty ]

B) domain: (,) ( - \infty , \infty )
range: (,2) [6,) ( - \infty , 2 ) \cup [ 6 , \infty )

C) domain: (,) ( - \infty , \infty )
range: (,2) (,6]( - \infty , 2 ) \cup ( \infty , 6 ]

D) domain: (,) ( - \infty , \infty )
range: (,2) (6,) ( \infty , 2 ) \cup ( 6 , - \infty )

E) domain: (,3) ( - \infty , 3 )
range: (,2) [6,) ( - \infty , 2 ) \cap [ 6 , \infty )

Correct Answer:

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