Algebra 2

Unit Test #1

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Part 1: Calculator Allowed

 

1.

Rewrite x<2 in interval notation.

(3)

x ,2

 

An Image

2.

Write an interval for the number line shown above.

(4)

x 1,5

 

3.

Evaluate f 0 given f x = x4 x4 x3 4<x<1 x2 x1 .

(3)

f 0 = 0 3=3

 

4.

Find the average rate of change for f x = x 2 +2x+2 over x 3,2 .

(6)

f 2 = 2 2 +2 2 +2=2 and f 3 = 3 2 +2 3 +2=5, so the average rate of change is 25 2 3 = 3 1 =3.

 

Algebra 2

Unit Test #1

 

Part 2: No Calculator Allowed

 

5.

Rewrite x 1, as an inequality.

(3)

x1

 

An Image

6.

Identify (by name and equation) the parent function shown above.

(3)

Absolute value; y= x

 

7.

Create a table of values and sketch the following equation: y= x1 .

(5)

An Image

 

8.

Create a table of values and sketch the following equation: y= x 2 +1 .

(5)

An Image

 

9.

Create a table of values and sketch the following equation: f x = x+3 x4 x5 2 x>4 .

(5)

An Image

 


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