Algebra 2

Unit Test #3

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Part 1: Calculator Allowed

 

1.

In firefighting, a good water stream can be modeled by y=0.003 x 2 +0.62x+3, where x is the water’s horizontal distance traveled (in feet) and y is its corresponding height (in feet). If a firefighter is aiming a good water stream at a building’s window 25 feet above the ground, at what two distances can the firefighter stand from the building?

(4)

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45.5022 feet and 161.1645 feet.

 

2.

Solve the system of equations: x 2 4x+3 x+7

(5)

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1,8 and 4,3

 

3.

Convert to standard form: y=2 x+4 2 1

(5)

2 x 2 +8x+16 1=2 x 2 +16x+321=2 x 2 +16x+31

 

4.

Convert to standard form: y= x+6 x+2

(5)

x 2 +6x+2x+12= x 2 +8x+12

 

Algebra 2

Unit Test #3

 

Part 2: No Calculator Allowed

 

For questions 5 and 6, let f x = x 2 +4x+2.

 

5.

Identify the domain, range, and y-intercept of f x .

(6)

Domain: x

Range: y 2,

y-intercept: 0,2

 

6.

Sketch the graph of f x .

(5)

An Image

 

For questions 7 and 8, let f x = x4 x2 .

 

7.

Identify the domain, range, and all axis intercepts of f x .

(7)

Domain: x

Range: y 1,

x-intercepts: 2,0 and 4,0

y-intercept: 0,8

 

8.

Sketch the graph of f x .

(5)

An Image

 


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