Graphs of Radical Functions

Multiple Choice

What is the domain of the graph?

• $$\left[0,\ +\infty\right)$$  

• $$\left[3,\ +\infty\right)$$  

• $$\left(-\infty,\ 0\right]$$  

• $$\left[-3,\ +\infty\right]$$  

Multiple Choice

What is the range of the graph?

• $$\left[0,\ +\infty\right)$$  

• $$\left[3,\ +\infty\right)$$  

• $$\left(-\infty,\ 3\right]$$  

• $$\left(-3,\ +\infty\right]$$  

Multiple Choice

What is the equation of the function $$f\left(x\right)$$  ?

• $$\sqrt{x-1}-3$$  

• $$\sqrt{x+2}-5$$  

• $$\sqrt{x-2}-5$$  

• $$\sqrt{x-2}+5$$  

Multiple Choice

Describe the transformation of the function from the parent function.

• Translate 2 units UP and 2 units LEFT

• Translate 2 units DOWN and 1 unit RIGHT 

• Translate 2 units UP and 1 unit LEFT

• Translate 3 units UP 

Multiple Choice

What is the domain of the function?

• $$\left(-\infty,\ -8\right]$$  

• $$\left(-\infty,\ 8\right]$$  

• $$\left[8,\ +\infty\right)$$  

• $$\left[-8,\ +\infty\right)$$  

Multiple Choice

What is the equation of the function $$f\left(x\right)$$  ?

• $$f\left(x\right)=\sqrt{x-3}-4$$  

• $$\sqrt{x+3}+4$$  

• $$\sqrt{x+4}+3$$  

• $$\sqrt{x-3}$$  

Multiple Choice

What is the range of the graph?

• $$\left[2,\ +\infty\right)$$  

• $$\left[-1,\ +\infty\right)$$  

• $$\left(-\infty,\ 2\right]$$  

• $$\left(-\infty,\ -2\right]$$