Question

4) y = V - 1 A) Domain: x 2 1 Range: y = 0 B) Domain: x 2-1 Range: y20 C) Domain: xsO Range: y z 1 D) Domain: x 20 Range: y 2-1

Answer 1

The domain of a function is the set of possible input values (x-values).

The range of a function is the set of possible output values (y-values).

In the case of:

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

The value inside of the square root must be positive, then:

$\begin{gathered} x-1\ge0 \\ x\ge0+1 \\ x\ge1 \end{gathered}$

The output values of the square root are always positive, then

$y\ge0$