8

16

$$\left(\sqrt[3]{64}\right)^2$$  

$$\left(\sqrt[2]{64}\right)^3$$  

$$10x^{\frac{2}{3}}y^{\frac{5}{3}}$$  

$$1000x^{\frac{2}{3}}y^{\frac{5}{3}}$$  

$$333.333x^{.667}y^{1.667}$$  

$$10x^{\frac{3}{2}}y^{\frac{3}{5}}$$  

$$10\sqrt[3]{x^2y^5}$$  

$$\sqrt[3]{10x^2y^5}$$  

$$10x^2y^5\sqrt[3]{xy}$$  

$$10y\sqrt[3]{x^2y^2}$$  

$$18xy\sqrt[3]{xy^2}$$  

$$3x^3y^6\sqrt[3]{2x^2y}$$  

$$2x^2y\sqrt[3]{3xy^2}$$  

$$3xy^2\sqrt[3]{2x^2y}$$  

Translation right 2 and down 3. No stretch or compression.

Vertical stretch by a factor of 2.

Translation 3 left.

Translation 1 up.

Vertical stretch by a factor of 2.

Translation 3 right.

Translation 1 up.

Vertical compression of 1/2.

Translation left 1.

Translation down 3.

$$f\left(x\right)=\sqrt[]{x}$$  

$$f\left(x\right)=\sqrt[]{x+1}-3$$  

$$g\left(x\right)=\sqrt[3]{x+1}-3$$  

$$f\left(x\right)=\sqrt[]{x-1}-3$$  

Domain: All real numbers 

Domain $$\left[-1,\infty\right)$$   

Range: All real numbers 

Range $$\left[-3,\infty\right)$$   

Domain and Range both: $$\left[0,\ \infty\right)$$  

No Solution

x = 9

x = 39 and x = -33

x= 39

$$2x^2+6x-1$$  

$$-2x^2-1$$  

$$2x^2+1$$  

$$2x^2-1$$  

$$7x^4+6x^3-3x$$  

$$6x^3-11x^2-3x$$  

$$6x^3+7x^2-3x$$  

$$5x^2+4x-3$$  

5

 2

 -43

 77

5

 2

 -43

 77

$$\left(2x^2+3x\right)\left(3x-1\right)$$  

  $$2\left(3x-1\right)^2+3\left(3x-1\right)$$  

$$2x^2\left(3x-1\right)+3x\left(3x-1\right)$$   

  $$y=\sqrt[]{x}+3$$  

$$y+3=x^2$$  

$$y=\sqrt[]{x+3}$$  

$$\sqrt[]{y}=x+3$$