Question

11) y = V.x - 1 A) Domain: { All real numbers. } Range: { All real numbers. } B) Domain: xs-1 Range: y = 0 C) Domain: 1 z 1 Range: y = 0 D) Domain: x 20 Range: y 2-1

Answer 1

`y=\sqrt[]{x}-1`

the square root function is defined for:

`D\colon\mleft\lbrace x\in R\colon x\ge0\mright\rbrace`

In this sense, the output values will be greater than or equal to 0, however, since the graph is translated 1 unit down, the range is:

`R\colon\mleft\lbrace x\in R\colon y\ge-1\mright\rbrace`