Radical Functions Review

What is the domain of the function?

• $x\ \ge3$

• $x\le3$

• All real numbers

• $x>0\propto$

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

What is the range of the function shown?

• All real numbers

• $y\le5$

• $y\ge5$

• $y>0$

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the domain of  $f\left(x\right)=-\sqrt{x-2}+3$  

•  $x\le2$  

•  $x\ge2$  

• all real numbers

• there is no domain 

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

Find the domain of  $f\left(x\right)=\sqrt{2x+4}-3$  

•  $x\ge4$  

•  $x\ge-2$  

•  $x\le-2$  

•  $x\le-4$  

Tags

CCSS.HSA.REI.A.2

CCSS.HSF.IF.B.5

Solve  $\sqrt{x+7}=3$  

•  $x=2$  

•  $x=0$  

• no solution

•  $x=3$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

Solve:  $\sqrt{2x-3}=\sqrt{x-1}$  

•  $x=1$  

•  $x=2$  

•  $x=4$  

• No solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

Solve:  $\sqrt{x-3}=\sqrt{3x+5}$  

•  $x=-4$  

•  $x=4$  

• All real numbers

• No solution

Tags

CCSS.HSA.REI.A.2

Solve:  $\sqrt{2x-1}=\sqrt{x-8}$  

•  $x=13\ only$  

•  $x=13,\ x\ =5$  

•  $x=5\ only$  

• no solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

Which function best describes this graph?

• $f\left(x\right)=4\sqrt{x-3}+5$

• $f\left(x\right)=4\sqrt{3-x}+5$

• $f\left(x\right)=-4\sqrt{x-3}+5$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

Describe the transformations necessary to transform the graph of  $f\left(x\right)$  (solid)  into that of  $g\left(x\right)$  (dashed).

• reflect across y-axis; left 1 unit; up 1 unit

• reflect across x-axis; left 1 unit; down 1 unit

• reflect across y-axis; right 1 unit; down 1 unit

• reflect across x-axis; left 1 unit; up 1 unit 

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6