Domain and Range: Square Root Function

What is the domain of this function?

 $y=\sqrt{x}-3$  

• x ≤ 0

• x ≥ 0

• x ≥ -3

• x ≤ -3

• None of these

What is the range of this function?

 $y=\sqrt{x}-3$  

• y ≤ 0

• y ≥ 0

• y ≥ -3

• y ≤ -3

• None of these

Find the domain of the function

  $f\left(x\right)=\sqrt{x-1}+5$  

•  $x\le1$  

•  $x\ge1$  

•  $x\le-5$  

•  $x\ge5$  

• None of these

Find the range of the function

 $f\left(x\right)=\sqrt{x-1}+5$  

•  $f\left(x\right)\ge5$  

•  $f\left(x\right)\le5$  

•  $f\left(x\right)\le1$  

•  $f\left(x\right)\ge1$  

• None of these

What is the range of this function?

 $f\left(x\right)=\sqrt{x+2}-4$  

• f(x) ≥ -2

• f(x) ≥ 2

• f(x) ≥ 4

• f(x) ≥ -4

• None of these

What is the domain of this function?

 $f\left(x\right)=\sqrt{x+2}-4$  

• x ≥ 4

• x ≥ -2

• x ≤ 2

• x ≥ 2

• None of these