Radical Unit Review

Identify the equation that matches the graph.

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Identify the correct domain for the given function:

 $f\left(x\right)=\frac{1}{2}\sqrt{x+7}-12$  

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Solve.

 $\sqrt{5x+3}=\sqrt{4x+5}$  

Solve.

 $\left(x-2\right)^{\frac{2}{3}}-4=5$  

•  $x=29$  

•  $x=11$  

•  $x=29\ and\ x=-25$  

• no solution

Identify the correct range for the given function:

 $f\left(x\right)=-\sqrt{4x-12}+5$  

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Identify the inequality that matches the graph.

• $y>3\sqrt{x-1}-7$

• $y<3\sqrt{x-1}-7$

• $y\ge3\sqrt{x-1}-7$

• $y\le3\sqrt{x-1}-7$

Solve.

 $\sqrt{x}+6=x$  

•  $x=4$  

•  $x=9$  

•  $x=4\ and\ x=9$  

• no solution

Solve.

 $\left(3x+4\right)^{\frac{1}{3}}+1=5$  

Identify the equation that matches the graph.

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Solve.

 $\frac{1}{2}x^{\frac{4}{5}}+3=11$  

• no solution

•  $x=32\ and\ x=-32$  

•  $x=32$  

•  $x=-32$