Review for Quiz Unit 4 #2

sketch the graph

 $y=-\frac{2}{3}x-1$  

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sketch the graph

 $y=\frac{8}{3}x+3$  

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Graph each equation.

 $y=\left|x-3\right|$  

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Graph each equation.

 $y=\left|x+3\right|$  

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Sketch the graph of each function.

 $y=x^2-4x+5$  

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Sketch the graph of each function.

 $y=-\frac{1}{2}x^2+4x-5$  

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Write a function rule to represent each situation.

The height  $f$ , in feet, of an object when you know the object's height  $h$  in inches.  

•  $A=w^2+3w$  

•  $C=65+2v$  

•  $f=\frac{h}{12}$  

•  $y=420+12x$  

Write a function rule to represent each situation.

The volume  $v$  of a cube-shaped box whose edge lengths are 1 in. greater than the diameter  $d$  of the ball that the box will hold. 

•  $V=\left(d+1\right)^3$  

•  $y=x+2$  

•  $t=15n$  

•  $f=\frac{h}{12}$  

Identify the domain and range of each relation. Is the relation a function?

{(4, 6), (5, 1), (7, 2), (5, 2)}

• Domain; {3}; Range: $\left\{-2,\ 1,\ 4,\ 7,\ 8\right\}$ ; No

• Domain"{1, 5, 6, 7}; Range: $\left\{-8,\ -7,\ 4,\ 5\right\}$ ; Yes

• Domain {4, 5, 7}; Range: {1, 2, 6}; No

• Domain: $\left\{-2,\ -1,\ 0,\ 1\right\}$ ; Range: {3, 4, 5, 6}; Yes

What is the range of  $f\left(x\right)=2x-7$  with domain  $\left\{-2,\ -1,\ 0,\ 1,\ 2\right\}$  

•  $\left\{-11,\ -9,\ -7,\ -5,\ -3\right\}$  

• {2, 4, 6, 8}

•  $\left\{-1,\ 2,\ 5,\ 8\right\}$  

• {3, 6, 9, 12}