2.7 - Graphing Square Roots and Cube Roots

 $f\left(x\right)=\sqrt{x}$  

Which function g(x) is equivalent to

 $f\left(x-4\right)+2$ 

•  $g(x)=2\sqrt{x-4}$  
  

•  $g(x)=\sqrt{x-4}+2$  
  

•  $g\left(x\right)=\sqrt{x+2}-4$  
  

•  $g(x)=\sqrt{x-4}-2$  
  

What is the Domain for: $g(x)=\sqrt{x+5}-3$ 

•  $-3≤x<∞$  
  

•  $−∞<x≤-3$  
  

•  $-5≤x<∞$  
  

•  $−∞<x≤-5$  
  

What is the Range for: $g\left(x\right)=\sqrt{x+5}-3$  

•  $-3≤y<∞$  
  

•  $−∞<y≤-3$  
  

•  $-5≤y<∞$  
  

•  $−∞<y≤-5$  
  

Which function matches the graph?

• $f(x)=\sqrt{x-4}-2$

• $f(x)=\sqrt{x+2}-4$
  

• $f(x)=\sqrt{x-2}-4$
  

• $f(x)=\sqrt{x+4}-2$
  

What is the Range for the graph?

• $-4≤y<∞$

• $−∞<y≤-2$
  

• $-2≤y<∞$
  

• $−∞<y≤-4$
  

What is the Domain for the graph?

• $-4≤x<∞$

• $−∞<x≤-2$
  

• $-2≤x<∞$
  

• $−∞<x≤-4$
  

Which function matches the graph?

• $f(x)=\sqrt{x-1}+3$

• $f\left(x\right)=-\sqrt{x+1}+3$
  

• $f(x)=\sqrt{-x+1}+3$
  

• $f(x)=−\sqrt{x+3}−1$
  

Which function matches the graph?

• $f(x)=∛(x+3)+2$

• $f(x)=−∛(x-3)+2$
  

• $f(x)=∛(x-3)+2$

• $f(x)=∛(x-2)+3$
  

What is the Range for the graph?

• $2≤y<∞$

• $−∞<y≤3$
  

• $3≤y<∞$
  

• $−∞<y<∞$
  

Which function matches the graph?

• $f(x)=−∛(x+3)−1$

• $f(x)=−∛(x-3)−1$
  

• $f(x)=∛(x+3)−1$
  

• $f(x)=∛(x-1)+3$